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1381053180 = 2235132816301
BaseRepresentation
bin101001001010001…
…0011001011111100
310120020200202210210
41102110103023330
510312022200210
6345012432420
746136521053
oct12224231374
93506622723
101381053180
11649628771
12326618710
13190176840
14d15bd39a
15813a0e20
hex525132fc

1381053180 has 96 divisors (see below), whose sum is σ = 4179889728. Its totient is φ = 338688000.

The previous prime is 1381053161. The next prime is 1381053181. The reversal of 1381053180 is 813501831.

It is a super-2 number, since 2×13810531802 = 3814615771976224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381053181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216030 + ... + 222330.

It is an arithmetic number, because the mean of its divisors is an integer number (43540518).

Almost surely, 21381053180 is an apocalyptic number.

1381053180 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 1381053180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089944864).

1381053180 is an abundant number, since it is smaller than the sum of its proper divisors (2798836548).

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

1381053180 is a wasteful number, since it uses less digits than its factorization.

1381053180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 1381053180 is about 37162.5238647754. The cubic root of 1381053180 is about 1113.6194325708.

The spelling of 1381053180 in words is "one billion, three hundred eighty-one million, fifty-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 281 390 562 780 843 1124 1405 1686 2810 3372 3653 4215 5620 6301 7306 8430 10959 12602 14612 16860 18265 18903 21918 25204 31505 36530 37806 43836 54795 63010 73060 75612 81913 94515 109590 126020 163826 189030 219180 245739 327652 378060 409565 491478 819130 982956 1228695 1638260 1770581 2457390 3541162 4914780 5311743 7082324 8852905 10623486 17705810 21246972 23017553 26558715 35411620 46035106 53117430 69052659 92070212 106234860 115087765 138105318 230175530 276210636 345263295 460351060 690526590 1381053180