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151952960 = 2651273739
BaseRepresentation
bin10010000111010…
…01111001000000
3101120221000021102
421003221321000
5302344443320
623024513532
73523402355
oct1103517100
9346830242
10151952960
1178856565
1242a7b8a8
1325633ac3
141627662c
15d518175
hex90e9e40

151952960 has 56 divisors (see below), whose sum is σ = 364784640. Its totient is φ = 60286464.

The previous prime is 151952951. The next prime is 151952971. The reversal of 151952960 is 69259151.

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 7 ways as a sum of consecutive naturals, for example, 38771 + ... + 42509.

Almost surely, 2151952960 is an apocalyptic number.

151952960 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 151952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182392320).

151952960 is an abundant number, since it is smaller than the sum of its proper divisors (212831680).

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

151952960 is a wasteful number, since it uses less digits than its factorization.

151952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 38.

The square root of 151952960 is about 12326.9201344050. The cubic root of 151952960 is about 533.6252707249.

The spelling of 151952960 in words is "one hundred fifty-one million, nine hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1270 2032 2540 3739 4064 5080 7478 8128 10160 14956 18695 20320 29912 37390 40640 59824 74780 119648 149560 239296 299120 474853 598240 949706 1196480 1899412 2374265 3798824 4748530 7597648 9497060 15195296 18994120 30390592 37988240 75976480 151952960