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1372013160 = 233577732113
BaseRepresentation
bin101000111000111…
…0100001001101000
310112121200111020020
41101301310021220
510302213410120
6344051000440
745666630240
oct12161641150
93477614206
101372013160
11644513881
12323599120
1318b32cc0b
14d0308b20
15806b7640
hex51c74268

1372013160 has 128 divisors (see below), whose sum is σ = 4712359680. Its totient is φ = 313049088.

The previous prime is 1372013141. The next prime is 1372013179. The reversal of 1372013160 is 613102731.

It is an interprime number because it is at equal distance from previous prime (1372013141) and next prime (1372013179).

It is a super-2 number, since 2×13720131602 = 3764840222426371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1372013160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648264 + ... + 650376.

It is an arithmetic number, because the mean of its divisors is an integer number (36815310).

Almost surely, 21372013160 is an apocalyptic number.

1372013160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1372013160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356179840).

1372013160 is an abundant number, since it is smaller than the sum of its proper divisors (3340346520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1372013160 is a wasteful number, since it uses less digits than its factorization.

1372013160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1372013160 is about 37040.6959977806. The cubic root of 1372013160 is about 1111.1842891211.

Adding to 1372013160 its reverse (613102731), we get a palindrome (1985115891).

The spelling of 1372013160 in words is "one billion, three hundred seventy-two million, thirteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 773 840 1546 2113 2319 3092 3865 4226 4638 5411 6184 6339 7730 8452 9276 10565 10822 11595 12678 14791 15460 16233 16904 18552 21130 21644 23190 25356 27055 29582 30920 31695 32466 42260 43288 44373 46380 50712 54110 59164 63390 64932 73955 81165 84520 88746 92760 108220 118328 126780 129864 147910 162330 177492 216440 221865 253560 295820 324660 354984 443730 591640 649320 887460 1633349 1774920 3266698 4900047 6533396 8166745 9800094 11433443 13066792 16333490 19600188 22866886 24500235 32666980 34300329 39200376 45733772 49000470 57167215 65333960 68600658 91467544 98000940 114334430 137201316 171501645 196001880 228668860 274402632 343003290 457337720 686006580 1372013160