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152123880 = 23351966721
BaseRepresentation
bin10010001000100…
…11100111101000
3101121020200201210
421010103213220
5302420431010
623032313120
73525013566
oct1104234750
9347220653
10152123880
1178962a17
1242b427a0
132569383c
14162bca36
15d54db20
hex91139e8

152123880 has 64 divisors (see below), whose sum is σ = 480398400. Its totient is φ = 38430720.

The previous prime is 152123843. The next prime is 152123887. The reversal of 152123880 is 88321251.

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

It is not an unprimeable number, because it can be changed into a prime (152123887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31081 + ... + 35640.

It is an arithmetic number, because the mean of its divisors is an integer number (7506225).

Almost surely, 2152123880 is an apocalyptic number.

152123880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152123880 is an abundant number, since it is smaller than the sum of its proper divisors (328274520).

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

152123880 is a wasteful number, since it uses less digits than its factorization.

152123880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66754 (or 66750 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 152123880 is about 12333.8509801278. The cubic root of 152123880 is about 533.8252735314.

The spelling of 152123880 in words is "one hundred fifty-two million, one hundred twenty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 66721 133442 200163 266884 333605 400326 533768 667210 800652 1000815 1267699 1334420 1601304 2001630 2535398 2668840 3803097 4003260 5070796 6338495 7606194 8006520 10141592 12676990 15212388 19015485 25353980 30424776 38030970 50707960 76061940 152123880