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164315261 = 1137487829
BaseRepresentation
bin10011100101101…
…00000001111101
3102110012002011102
421302310001331
5314031042021
624145502445
74033441145
oct1162640175
9373162142
10164315261
118482a540
1247041a25
1328071986
1417b73925
15e65b00b
hex9cb407d

164315261 has 16 divisors (see below), whose sum is σ = 184698240. Its totient is φ = 144866880.

The previous prime is 164315237. The next prime is 164315269. The reversal of 164315261 is 162513461.

It is a happy number.

164315261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 164315261 - 218 = 164053117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164315269) 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, 197795 + ... + 198623.

It is an arithmetic number, because the mean of its divisors is an integer number (11543640).

Almost surely, 2164315261 is an apocalyptic number.

164315261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164315261 is a deficient number, since it is larger than the sum of its proper divisors (20382979).

164315261 is a wasteful number, since it uses less digits than its factorization.

164315261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364.

The product of its digits is 4320, while the sum is 29.

The square root of 164315261 is about 12818.5514392228. The cubic root of 164315261 is about 547.7208838872.

The spelling of 164315261 in words is "one hundred sixty-four million, three hundred fifteen thousand, two hundred sixty-one".

Divisors: 1 11 37 407 487 829 5357 9119 18019 30673 198209 337403 403723 4440953 14937751 164315261