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385666560 = 2932519881
BaseRepresentation
bin10110111111001…
…100111000000000
3222212200220001200
4112333030320000
51242212312220
6102134101200
712362053206
oct2677147000
9885626050
10385666560
11188775aa4
12a91aa800
1361b93486
1439313076
1523cd1890
hex16fcce00

385666560 has 240 divisors, whose sum is σ = 1407566160. Its totient is φ = 97320960.

The previous prime is 385666543. The next prime is 385666571. The reversal of 385666560 is 65666583.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437320 + ... + 438200.

It is an arithmetic number, because the mean of its divisors is an integer number (5864859).

Almost surely, 2385666560 is an apocalyptic number.

385666560 is a gapful number since it is divisible by the number (30) 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 385666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703783080).

385666560 is an abundant number, since it is smaller than the sum of its proper divisors (1021899600).

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

385666560 is a wasteful number, since it uses less digits than its factorization.

385666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 385666560 is about 19638.3950464390. The cubic root of 385666560 is about 727.8982267261.

The spelling of 385666560 in words is "three hundred eighty-five million, six hundred sixty-six thousand, five hundred sixty".