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164110860 = 223451759101
BaseRepresentation
bin10011100100000…
…10001000001100
3102102210200210000
421302002020030
5314003021420
624141244300
74031630214
oct1162021014
9372720700
10164110860
11846aaa11
1246b63690
1327ccc924
1417b1d244
15e61a690
hex9c8220c

164110860 has 240 divisors, whose sum is σ = 559833120. Its totient is φ = 40089600.

The previous prime is 164110853. The next prime is 164110861. The reversal of 164110860 is 68011461.

164110860 is a `hidden beast` number, since 1 + 641 + 10 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164110861) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1624810 + ... + 1624910.

It is an arithmetic number, because the mean of its divisors is an integer number (2332638).

Almost surely, 2164110860 is an apocalyptic number.

164110860 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 164110860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279916560).

164110860 is an abundant number, since it is smaller than the sum of its proper divisors (395722260).

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

164110860 is a wasteful number, since it uses less digits than its factorization.

164110860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 164110860 is about 12810.5760994578. The cubic root of 164110860 is about 547.4936760388.

The spelling of 164110860 in words is "one hundred sixty-four million, one hundred ten thousand, eight hundred sixty".