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86977968 = 243711101233
BaseRepresentation
bin1010010111100…
…10110110110000
320001122221100020
411023302312300
5134231243333
612344123440
72104205040
oct513626660
9201587306
1086977968
1145107920
1225166580
131503456c
14b7a1720
1579813b3
hex52f2db0

86977968 has 160 divisors (see below), whose sum is σ = 284124672. Its totient is φ = 22272000.

The previous prime is 86977951. The next prime is 86977981.

86977968 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373180 + ... + 373412.

Almost surely, 286977968 is an apocalyptic number.

86977968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86977968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142062336).

86977968 is an abundant number, since it is smaller than the sum of its proper divisors (197146704).

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

86977968 is a wasteful number, since it uses less digits than its factorization.

86977968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 60.

The square root of 86977968 is about 9326.1979391390. The cubic root of 86977968 is about 443.0673548578.

The spelling of 86977968 in words is "eighty-six million, nine hundred seventy-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 101 112 132 154 168 176 202 231 233 264 303 308 336 404 462 466 528 606 616 699 707 808 924 932 1111 1212 1232 1398 1414 1616 1631 1848 1864 2121 2222 2424 2563 2796 2828 3262 3333 3696 3728 4242 4444 4848 4893 5126 5592 5656 6524 6666 7689 7777 8484 8888 9786 10252 11184 11312 13048 13332 15378 15554 16968 17776 17941 19572 20504 23331 23533 26096 26664 30756 31108 33936 35882 39144 41008 46662 47066 53328 53823 61512 62216 70599 71764 78288 93324 94132 107646 123024 124432 141198 143528 164731 186648 188264 215292 258863 282396 287056 329462 373296 376528 430584 494193 517726 564792 658924 776589 861168 988386 1035452 1129584 1317848 1553178 1812041 1976772 2070904 2635696 3106356 3624082 3953544 4141808 5436123 6212712 7248164 7907088 10872246 12425424 14496328 21744492 28992656 43488984 86977968