Search a number
-
+
77136664 = 23112321657
BaseRepresentation
bin1001001100100…
…00001100011000
312101010221121111
410212100030120
5124221333124
611353150104
71624436143
oct446201430
9171127544
1077136664
113a5a5a10
12219bb334
1312c99cc7
14a35d05a
156b8a494
hex4990318

77136664 has 48 divisors (see below), whose sum is σ = 165037320. Its totient is φ = 33517440.

The previous prime is 77136613. The next prime is 77136679. The reversal of 77136664 is 46663177.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45724 + ... + 47380.

Almost surely, 277136664 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 77136664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82518660).

77136664 is an abundant number, since it is smaller than the sum of its proper divisors (87900656).

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

77136664 is a wasteful number, since it uses less digits than its factorization.

77136664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1693 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 77136664 is about 8782.7480892941. The cubic root of 77136664 is about 425.6836314772.

The spelling of 77136664 in words is "seventy-seven million, one hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 529 1012 1058 1657 2024 2116 3314 4232 5819 6628 11638 13256 18227 23276 36454 38111 46552 72908 76222 145816 152444 304888 419221 838442 876553 1676884 1753106 3353768 3506212 7012424 9642083 19284166 38568332 77136664