[go: up one dir, main page]

Search a number
-
+
152021120 = 2751791327
BaseRepresentation
bin10010000111110…
…10100010000000
3101121001110202212
421003322202000
5302404133440
623030201252
73524105156
oct1103724200
9347043685
10152021120
11788a2799
1242ab3228
1325658b34
14162933d6
15d52d465
hex90fa880

152021120 has 64 divisors (see below), whose sum is σ = 365731200. Its totient is φ = 60423168.

The previous prime is 152021087. The next prime is 152021131. The reversal of 152021120 is 21120251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1520211202 = 46220841852108800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152021095 and 152021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113897 + ... + 115223.

It is an arithmetic number, because the mean of its divisors is an integer number (5714550).

Almost surely, 2152021120 is an apocalyptic number.

152021120 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 152021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182865600).

152021120 is an abundant number, since it is smaller than the sum of its proper divisors (213710080).

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

152021120 is a wasteful number, since it uses less digits than its factorization.

152021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 152021120 is about 12329.6845052905. The cubic root of 152021120 is about 533.7050464255.

Adding to 152021120 its reverse (21120251), we get a palindrome (173141371).

The spelling of 152021120 in words is "one hundred fifty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 179 320 358 640 716 895 1327 1432 1790 2654 2864 3580 5308 5728 6635 7160 10616 11456 13270 14320 21232 22912 26540 28640 42464 53080 57280 84928 106160 114560 169856 212320 237533 424640 475066 849280 950132 1187665 1900264 2375330 3800528 4750660 7601056 9501320 15202112 19002640 30404224 38005280 76010560 152021120