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77136390 = 23251979571
BaseRepresentation
bin1001001100100…
…00001000000110
312101010221020100
410212100020012
5124221331030
611353144530
71624435302
oct446201006
9171127210
1077136390
113a5a5791
12219bb146
1312c99b46
14a35cd02
156b8a360
hex4990206

77136390 has 96 divisors (see below), whose sum is σ = 214156800. Its totient is φ = 19206720.

The previous prime is 77136383. The next prime is 77136403. The reversal of 77136390 is 9363177.

77136390 is a `hidden beast` number, since 7 + 7 + 13 + 639 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134805 + ... + 135375.

It is an arithmetic number, because the mean of its divisors is an integer number (2230800).

Almost surely, 277136390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77136390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107078400).

77136390 is an abundant number, since it is smaller than the sum of its proper divisors (137020410).

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

77136390 is a wasteful number, since it uses less digits than its factorization.

77136390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 77136390 is about 8782.7324905180. The cubic root of 77136390 is about 425.6831274477.

The spelling of 77136390 in words is "seventy-seven million, one hundred thirty-six thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 79 90 95 114 158 171 190 237 285 342 395 474 570 571 711 790 855 1142 1185 1422 1501 1710 1713 2370 2855 3002 3426 3555 4503 5139 5710 7110 7505 8565 9006 10278 10849 13509 15010 17130 21698 22515 25695 27018 32547 45030 45109 51390 54245 65094 67545 90218 97641 108490 135090 135327 162735 195282 225545 270654 325470 405981 451090 488205 676635 811962 857071 976410 1353270 1714142 2029905 2571213 4059810 4285355 5142426 7713639 8570710 12856065 15427278 25712130 38568195 77136390