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153087920 = 2453161729
BaseRepresentation
bin10010001111111…
…10111110110000
3101200001200010222
421013332332300
5303142303140
623105112212
73536140316
oct1107767660
9350050128
10153087920
1179461247
1243328668
132594058b
14164900b6
15d68e5b5
hex91fefb0

153087920 has 40 divisors (see below), whose sum is σ = 367416960. Its totient is φ = 59258880.

The previous prime is 153087919. The next prime is 153087929. The reversal of 153087920 is 29780351.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1530879202 = 46871822499852800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153087929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28385 + ... + 33344.

It is an arithmetic number, because the mean of its divisors is an integer number (9185424).

Almost surely, 2153087920 is an apocalyptic number.

153087920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153087920 is an abundant number, since it is smaller than the sum of its proper divisors (214329040).

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

153087920 is a wasteful number, since it uses less digits than its factorization.

153087920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61773 (or 61767 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 153087920 is about 12372.8703217968. The cubic root of 153087920 is about 534.9505529751.

The spelling of 153087920 in words is "one hundred fifty-three million, eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 61729 123458 246916 308645 493832 617290 987664 1234580 1913599 2469160 3827198 4938320 7654396 9567995 15308792 19135990 30617584 38271980 76543960 153087920