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77312070 = 2345118677
BaseRepresentation
bin1001001101110…
…11000001000110
312101110212020000
410212323001012
5124242441240
611401022130
71626066423
oct446730106
9171425200
1077312070
113a705780
1221a84946
131302bab4
14a3a6d4a
156bc2430
hex49bb046

77312070 has 80 divisors (see below), whose sum is σ = 226808208. Its totient is φ = 18740160.

The previous prime is 77312063. The next prime is 77312087. The reversal of 77312070 is 7021377.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4572 + ... + 13248.

Almost surely, 277312070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77312070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113404104).

77312070 is an abundant number, since it is smaller than the sum of its proper divisors (149496138).

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

77312070 is a wasteful number, since it uses less digits than its factorization.

77312070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8707 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 27.

The square root of 77312070 is about 8792.7282455447. The cubic root of 77312070 is about 426.0060503009.

It can be divided in two parts, 7731 and 2070, that added together give a square (9801 = 992).

The spelling of 77312070 in words is "seventy-seven million, three hundred twelve thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8677 8910 17354 26031 43385 52062 78093 86770 95447 130155 156186 190894 234279 260310 286341 390465 468558 477235 572682 702837 780930 859023 954470 1171395 1405674 1431705 1718046 2342790 2577069 2863410 3514185 4295115 5154138 7028370 7731207 8590230 12885345 15462414 25770690 38656035 77312070