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152880900 = 22352509603
BaseRepresentation
bin10010001110011…
…00011100000100
3101122200011011120
421013030130010
5303114142100
623100433540
73534315624
oct1107143404
9348604146
10152880900
117932a757
12432488b0
132589a293
1416438884
15d64d0a0
hex91cc704

152880900 has 36 divisors (see below), whose sum is σ = 442336272. Its totient is φ = 40768160.

The previous prime is 152880899. The next prime is 152880911. The reversal of 152880900 is 9088251.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 254502 + ... + 255101.

Almost surely, 2152880900 is an apocalyptic number.

152880900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152880900 is an abundant number, since it is smaller than the sum of its proper divisors (289455372).

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

152880900 is a wasteful number, since it uses less digits than its factorization.

152880900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509620 (or 509613 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 152880900 is about 12364.5016074244. The cubic root of 152880900 is about 534.7093072448.

It can be divided in two parts, 1528 and 80900, that added together give a palindrome (82428).

The spelling of 152880900 in words is "one hundred fifty-two million, eight hundred eighty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 509603 1019206 1528809 2038412 2548015 3057618 5096030 6115236 7644045 10192060 12740075 15288090 25480150 30576180 38220225 50960300 76440450 152880900