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86752770 = 23513271241
BaseRepresentation
bin1010010101110…
…11111000000010
320001020111102120
411022323320002
5134202042040
612335225110
72102246346
oct512737002
9201214376
1086752770
1144a73705
1225078196
1314c85c00
14b743626
1579397d0
hex52bbe02

86752770 has 96 divisors (see below), whose sum is σ = 229578624. Its totient is φ = 20966400.

The previous prime is 86752759. The next prime is 86752781. The reversal of 86752770 is 7725768.

It is an interprime number because it is at equal distance from previous prime (86752759) and next prime (86752781).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 359850 + ... + 360090.

It is an arithmetic number, because the mean of its divisors is an integer number (2391444).

Almost surely, 286752770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86752770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114789312).

86752770 is an abundant number, since it is smaller than the sum of its proper divisors (142825854).

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

86752770 is a wasteful number, since it uses less digits than its factorization.

86752770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 86752770 is about 9314.1167053028. The cubic root of 86752770 is about 442.6846367915.

The spelling of 86752770 in words is "eighty-six million, seven hundred fifty-two thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 169 195 213 241 338 355 390 426 482 507 710 723 845 923 1014 1065 1205 1446 1690 1846 2130 2410 2535 2769 3133 3615 4615 5070 5538 6266 7230 9230 9399 11999 13845 15665 17111 18798 23998 27690 31330 34222 35997 40729 46995 51333 59995 71994 81458 85555 93990 102666 119990 122187 171110 179985 203645 222443 244374 256665 359970 407290 444886 513330 610935 667329 1112215 1221870 1334658 2224430 2891759 3336645 5783518 6673290 8675277 14458795 17350554 28917590 43376385 86752770