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86469684 = 223717193187
BaseRepresentation
bin1010010011101…
…10110000110100
320000201010002220
411021312300310
5134114012214
612325202340
72066660130
oct511666064
9200633086
1086469684
114489aa54
1224b603b0
1314bb70c2
14b6ac3c0
1578d09a9
hex5276c34

86469684 has 96 divisors (see below), whose sum is σ = 257080320. Its totient is φ = 22021632.

The previous prime is 86469661. The next prime is 86469737. The reversal of 86469684 is 48696468.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 31 ways as a sum of consecutive naturals, for example, 25539 + ... + 28725.

It is an arithmetic number, because the mean of its divisors is an integer number (2677920).

Almost surely, 286469684 is an apocalyptic number.

86469684 is a gapful number since it is divisible by the number (84) 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 86469684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128540160).

86469684 is an abundant number, since it is smaller than the sum of its proper divisors (170610636).

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

86469684 is a wasteful number, since it uses less digits than its factorization.

86469684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3235 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 86469684 is about 9298.9076777867. The cubic root of 86469684 is about 442.2025988485.

It can be divided in two parts, 86469 and 684, that added together give a triangular number (87153 = T417).

The spelling of 86469684 in words is "eighty-six million, four hundred sixty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 204 228 238 266 323 357 399 476 532 646 714 798 969 1292 1428 1596 1938 2261 3187 3876 4522 6374 6783 9044 9561 12748 13566 19122 22309 27132 38244 44618 54179 60553 66927 89236 108358 121106 133854 162537 181659 216716 242212 267708 325074 363318 379253 423871 650148 726636 758506 847742 1029401 1137759 1271613 1517012 1695484 2058802 2275518 2543226 3088203 4117604 4551036 5086452 6176406 7205807 12352812 14411614 21617421 28823228 43234842 86469684