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86376132 = 22342367173
BaseRepresentation
bin1010010010111…
…11111011000100
320000112100210000
411021133323010
5134103014012
612323201300
72066120313
oct511377304
9200470700
1086376132
1144836737
1224b16230
1314b8364b
14b68627a
1578b2ddc
hex525fec4

86376132 has 120 divisors (see below), whose sum is σ = 240520896. Its totient is φ = 26972352.

The previous prime is 86376131. The next prime is 86376193. The reversal of 86376132 is 23167368.

It is a happy number.

86376132 is a `hidden beast` number, since 8 + 6 + 37 + 613 + 2 = 666.

It is a super-3 number, since 3×863761323 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86376131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 499198 + ... + 499370.

Almost surely, 286376132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86376132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120260448).

86376132 is an abundant number, since it is smaller than the sum of its proper divisors (154144764).

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

86376132 is a wasteful number, since it uses less digits than its factorization.

86376132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 86376132 is about 9293.8760482374. The cubic root of 86376132 is about 442.0430675396.

The spelling of 86376132 in words is "eighty-six million, three hundred seventy-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 67 69 81 92 108 134 138 162 173 201 207 268 276 324 346 402 414 519 603 621 692 804 828 1038 1206 1242 1541 1557 1809 1863 2076 2412 2484 3082 3114 3618 3726 3979 4623 4671 5427 6164 6228 7236 7452 7958 9246 9342 10854 11591 11937 13869 14013 15916 18492 18684 21708 23182 23874 27738 28026 34773 35811 41607 46364 47748 55476 56052 69546 71622 83214 104319 107433 124821 139092 143244 166428 208638 214866 249642 266593 312957 322299 417276 429732 499284 533186 625914 644598 799779 938871 1066372 1251828 1289196 1599558 1877742 2399337 3199116 3755484 4798674 7198011 9597348 14396022 21594033 28792044 43188066 86376132