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86642136 = 233576367
BaseRepresentation
bin1010010101000…
…00110111011000
320001000212200000
411022200313120
5134140022021
612333013000
72101305660
oct512406730
9201025600
1086642136
11449a8579
1225024160
1314c47749
14b7151a0
157916b26
hex52a0dd8

86642136 has 96 divisors (see below), whose sum is σ = 278154240. Its totient is φ = 24751008.

The previous prime is 86642131. The next prime is 86642141. The reversal of 86642136 is 63124668.

86642136 is a `hidden beast` number, since 8 + 6 + 642 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (86642131) and next prime (86642141).

It is a super-4 number, since 4×866421364 (a number of 33 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 86642136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86642131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10425 + ... + 16791.

It is an arithmetic number, because the mean of its divisors is an integer number (2897440).

Almost surely, 286642136 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 86642136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139077120).

86642136 is an abundant number, since it is smaller than the sum of its proper divisors (191512104).

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

86642136 is a wasteful number, since it uses less digits than its factorization.

86642136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6379 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 86642136 is about 9308.1757611253. The cubic root of 86642136 is about 442.4963745753.

The spelling of 86642136 in words is "eighty-six million, six hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6367 6804 12734 13608 19101 25468 38202 44569 50936 57303 76404 89138 114606 133707 152808 171909 178276 229212 267414 343818 356552 401121 458424 515727 534828 687636 802242 1031454 1069656 1203363 1375272 1547181 1604484 2062908 2406726 3094362 3208968 3610089 4125816 4813452 6188724 7220178 9626904 10830267 12377448 14440356 21660534 28880712 43321068 86642136