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153120660 = 2235711223131
BaseRepresentation
bin10010010000001…
…10111110010100
3101200010100001120
421020012332110
5303144330120
623105523540
73536334630
oct1110067624
9350110046
10153120660
1179483900
12433435b0
1325952454
141649bdc0
15d699140
hex9206f94

153120660 has 288 divisors, whose sum is σ = 566286336. Its totient is φ = 30201600.

The previous prime is 153120631. The next prime is 153120679. The reversal of 153120660 is 66021351.

It is a self number, because there is not a number n which added to its sum of digits gives 153120660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1168795 + ... + 1168925.

It is an arithmetic number, because the mean of its divisors is an integer number (1966272).

Almost surely, 2153120660 is an apocalyptic number.

153120660 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 153120660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283143168).

153120660 is an abundant number, since it is smaller than the sum of its proper divisors (413165676).

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

153120660 is a wasteful number, since it uses less digits than its factorization.

153120660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 153120660 is about 12374.1933070403. The cubic root of 153120660 is about 534.9886858177.

The spelling of 153120660 in words is "one hundred fifty-three million, one hundred twenty thousand, six hundred sixty".