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164134410 = 235113531409
BaseRepresentation
bin10011100100001…
…11111000001010
3102102211220002020
421302013320022
5314004300120
624141545310
74032055656
oct1162077012
9372756066
10164134410
1184716680
1246b75236
132800a56b
1417b27a66
15e622640
hex9c87e0a

164134410 has 64 divisors (see below), whose sum is σ = 431256960. Its totient is φ = 39649280.

The previous prime is 164134391. The next prime is 164134427. The reversal of 164134410 is 14431461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115786 + ... + 117194.

It is an arithmetic number, because the mean of its divisors is an integer number (6738390).

Almost surely, 2164134410 is an apocalyptic number.

164134410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164134410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215628480).

164134410 is an abundant number, since it is smaller than the sum of its proper divisors (267122550).

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

164134410 is a wasteful number, since it uses less digits than its factorization.

164134410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 164134410 is about 12811.4952288950. The cubic root of 164134410 is about 547.5198633356.

Adding to 164134410 its reverse (14431461), we get a palindrome (178565871).

The spelling of 164134410 in words is "one hundred sixty-four million, one hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 353 706 1059 1409 1765 2118 2818 3530 3883 4227 5295 7045 7766 8454 10590 11649 14090 15499 19415 21135 23298 30998 38830 42270 46497 58245 77495 92994 116490 154990 232485 464970 497377 994754 1492131 2486885 2984262 4973770 5471147 7460655 10942294 14921310 16413441 27355735 32826882 54711470 82067205 164134410