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164710260 = 22365111379
BaseRepresentation
bin10011101000101…
…00011101110100
3102110221011000000
421310110131310
5314131212020
624202151300
74040004561
oct1164243564
9373834000
10164710260
1184a7a290
12471b2530
132817c6c0
1417c37868
15e6d8090
hex9d14774

164710260 has 336 divisors, whose sum is σ = 616976640. Its totient is φ = 36391680.

The previous prime is 164710213. The next prime is 164710267. The reversal of 164710260 is 62017461.

164710260 is a `hidden beast` number, since 1 + 647 + 10 + 2 + 6 + 0 = 666.

164710260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (164710267) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2084901 + ... + 2084979.

It is an arithmetic number, because the mean of its divisors is an integer number (1836240).

Almost surely, 2164710260 is an apocalyptic number.

164710260 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 164710260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308488320).

164710260 is an abundant number, since it is smaller than the sum of its proper divisors (452266380).

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

164710260 is a wasteful number, since it uses less digits than its factorization.

164710260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 164710260 is about 12833.9495090171. The cubic root of 164710260 is about 548.1594231318.

The spelling of 164710260 in words is "one hundred sixty-four million, seven hundred ten thousand, two hundred sixty".