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164369160 = 23325456581
BaseRepresentation
bin10011100110000…
…01001100001000
3102110021211002200
421303001030020
5314034303120
624151000200
74034054244
oct1163011410
9373254080
10164369160
1184866a8a
1247069060
1328090377
1417b89424
15e66be90
hex9cc1308

164369160 has 48 divisors (see below), whose sum is σ = 534200940. Its totient is φ = 43831680.

The previous prime is 164369159. The next prime is 164369213. The reversal of 164369160 is 61963461.

164369160 is a `hidden beast` number, since 1 + 643 + 6 + 9 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 163481796 + 887364 = 12786^2 + 942^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227931 + ... + 228650.

Almost surely, 2164369160 is an apocalyptic number.

164369160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164369160 is an abundant number, since it is smaller than the sum of its proper divisors (369831780).

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

164369160 is a wasteful number, since it uses less digits than its factorization.

164369160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456598 (or 456591 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 164369160 is about 12820.6536494829. The cubic root of 164369160 is about 547.7807654840.

The spelling of 164369160 in words is "one hundred sixty-four million, three hundred sixty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 456581 913162 1369743 1826324 2282905 2739486 3652648 4109229 4565810 5478972 6848715 8218458 9131620 10957944 13697430 16436916 18263240 20546145 27394860 32873832 41092290 54789720 82184580 164369160