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86978934 = 235737691
BaseRepresentation
bin1010010111100…
…11000101110110
320001122222200000
411023303011312
5134231311214
612344132130
72104210620
oct513630566
9201588600
1086978934
1145108619
1225167046
1315034b33
14b7a1c10
157981809
hex52f3176

86978934 has 96 divisors (see below), whose sum is σ = 229721856. Its totient is φ = 24144480.

The previous prime is 86978911. The next prime is 86978951. The reversal of 86978934 is 43987968.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 125529 + ... + 126219.

It is an arithmetic number, because the mean of its divisors is an integer number (2392936).

Almost surely, 286978934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86978934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114860928).

86978934 is an abundant number, since it is smaller than the sum of its proper divisors (142742922).

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

86978934 is a wasteful number, since it uses less digits than its factorization.

86978934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 740 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 86978934 is about 9326.2497285887. The cubic root of 86978934 is about 443.0689951256.

The spelling of 86978934 in words is "eighty-six million, nine hundred seventy-eight thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 243 259 333 378 486 518 567 666 691 777 999 1134 1382 1554 1701 1998 2073 2331 2997 3402 4146 4662 4837 5994 6219 6993 8991 9674 12438 13986 14511 17982 18657 20979 25567 29022 37314 41958 43533 51134 55971 62937 76701 87066 111942 125874 130599 153402 167913 178969 230103 261198 335826 357938 391797 460206 536907 690309 783594 1073814 1175391 1380618 1610721 2070927 2350782 3221442 4141854 4832163 6212781 9664326 12425562 14496489 28992978 43489467 86978934