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76706370 = 232513531237
BaseRepresentation
bin1001001001001…
…11001001000010
312100100002100200
410210213021002
5124114100440
611340030030
71620664506
oct444471102
9170302320
1076706370
113a3316a4
1221832316
1312b791b0
14a28a306
156b02c30
hex4927242

76706370 has 96 divisors (see below), whose sum is σ = 219007152. Its totient is φ = 18510336.

The previous prime is 76706351. The next prime is 76706381. The reversal of 76706370 is 7360767.

It can be written as a sum of positive squares in 8 ways, for example, as 36978561 + 39727809 = 6081^2 + 6303^2 .

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, 61392 + ... + 62628.

Almost surely, 276706370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76706370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109503576).

76706370 is an abundant number, since it is smaller than the sum of its proper divisors (142300782).

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

76706370 is a wasteful number, since it uses less digits than its factorization.

76706370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The square root of 76706370 is about 8758.2172843564. The cubic root of 76706370 is about 424.8906200641.

The spelling of 76706370 in words is "seventy-six million, seven hundred six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 477 530 585 689 795 954 1170 1237 1378 1590 2067 2385 2474 3445 3711 4134 4770 6185 6201 6890 7422 10335 11133 12370 12402 16081 18555 20670 22266 31005 32162 37110 48243 55665 62010 65561 80405 96486 111330 131122 144729 160810 196683 241215 289458 327805 393366 482430 590049 655610 723645 852293 983415 1180098 1447290 1704586 1966830 2556879 2950245 4261465 5113758 5900490 7670637 8522930 12784395 15341274 25568790 38353185 76706370