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152021280 = 25351979211
BaseRepresentation
bin10010000111110…
…10100100100000
3101121001110222210
421003322210200
5302404140110
623030202120
73524105505
oct1103724440
9347043883
10152021280
11788a2924
1242ab3340
1325658c28
14162934ac
15d52d520
hex90fa920

152021280 has 192 divisors, whose sum is σ = 512870400. Its totient is φ = 37739520.

The previous prime is 152021263. The next prime is 152021323. The reversal of 152021280 is 82120251.

It is a happy number.

It is a super-2 number, since 2×1520212802 = 46220939145676800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 720375 + ... + 720585.

It is an arithmetic number, because the mean of its divisors is an integer number (2671200).

Almost surely, 2152021280 is an apocalyptic number.

152021280 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 152021280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256435200).

152021280 is an abundant number, since it is smaller than the sum of its proper divisors (360849120).

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

152021280 is a wasteful number, since it uses less digits than its factorization.

152021280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 152021280 is about 12329.6909936949. The cubic root of 152021280 is about 533.7052336643.

The spelling of 152021280 in words is "one hundred fifty-two million, twenty-one thousand, two hundred eighty".