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166055560 = 2351133119
BaseRepresentation
bin10011110010111…
…00111010001000
3102120110111101221
421321130322020
5320002234220
624251051424
74054306666
oct1171347210
9376414357
10166055560
1185809000
1247740b74
1328530b38
14180a7c36
15e8a19aa
hex9e5ce88

166055560 has 64 divisors (see below), whose sum is σ = 411091200. Its totient is φ = 60364480.

The previous prime is 166055557. The next prime is 166055563. The reversal of 166055560 is 65550661.

166055560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166055557) and next prime (166055563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166055563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51681 + ... + 54799.

It is an arithmetic number, because the mean of its divisors is an integer number (6423300).

Almost surely, 2166055560 is an apocalyptic number.

166055560 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 166055560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205545600).

166055560 is an abundant number, since it is smaller than the sum of its proper divisors (245035640).

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

166055560 is a wasteful number, since it uses less digits than its factorization.

166055560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 166055560 is about 12886.2546925008. The cubic root of 166055560 is about 549.6477744794.

The spelling of 166055560 in words is "one hundred sixty-six million, fifty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1331 2420 2662 3119 4840 5324 6238 6655 10648 12476 13310 15595 24952 26620 31190 34309 53240 62380 68618 124760 137236 171545 274472 343090 377399 686180 754798 1372360 1509596 1886995 3019192 3773990 4151389 7547980 8302778 15095960 16605556 20756945 33211112 41513890 83027780 166055560