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164713368 = 23359891307
BaseRepresentation
bin10011101000101…
…01001110011000
3102110221022021010
421310111032120
5314131311433
624202213520
74040016621
oct1164251630
9373838233
10164713368
1184a81656
12471b42a0
1328180c41
1417c38a48
15e6d8e63
hex9d15398

164713368 has 64 divisors (see below), whose sum is σ = 423792000. Its totient is φ = 53326592.

The previous prime is 164713361. The next prime is 164713369. The reversal of 164713368 is 863317461.

164713368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164713361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 125371 + ... + 126677.

It is an arithmetic number, because the mean of its divisors is an integer number (6621750).

Almost surely, 2164713368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164713368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211896000).

164713368 is an abundant number, since it is smaller than the sum of its proper divisors (259078632).

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

164713368 is a wasteful number, since it uses less digits than its factorization.

164713368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1460 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 164713368 is about 12834.0705935412. The cubic root of 164713368 is about 548.1628709412.

The spelling of 164713368 in words is "one hundred sixty-four million, seven hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 59 89 118 177 178 236 267 354 356 472 534 708 712 1068 1307 1416 2136 2614 3921 5228 5251 7842 10456 10502 15684 15753 21004 31368 31506 42008 63012 77113 116323 126024 154226 231339 232646 308452 348969 462678 465292 616904 697938 925356 930584 1395876 1850712 2791752 6863057 13726114 20589171 27452228 41178342 54904456 82356684 164713368