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86352840 = 23325734267
BaseRepresentation
bin1010010010110…
…10001111001000
320000111011211100
411021122033020
5134101242330
612322501400
72065662360
oct511321710
9200434740
1086352840
1144820192
1224b04860
1314b75b72
14b67b9a0
1578ab060
hex525a3c8

86352840 has 96 divisors (see below), whose sum is σ = 320748480. Its totient is φ = 19737216.

The previous prime is 86352839. The next prime is 86352863. The reversal of 86352840 is 4825368.

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

It is a junction number, because it is equal to n+sod(n) for n = 86352795 and 86352804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14614 + ... + 19653.

It is an arithmetic number, because the mean of its divisors is an integer number (3341130).

Almost surely, 286352840 is an apocalyptic number.

It is an amenable number.

86352840 is an abundant number, since it is smaller than the sum of its proper divisors (234395640).

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

86352840 is a wasteful number, since it uses less digits than its factorization.

86352840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34291 (or 34284 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 86352840 is about 9292.6228805435. The cubic root of 86352840 is about 442.0033305100.

The spelling of 86352840 in words is "eighty-six million, three hundred fifty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 34267 68534 102801 137068 171335 205602 239869 274136 308403 342670 411204 479738 514005 616806 685340 719607 822408 959476 1028010 1199345 1233612 1370680 1439214 1542015 1918952 2056020 2158821 2398690 2467224 2878428 3084030 3598035 4112040 4317642 4797380 5756856 6168060 7196070 8635284 9594760 10794105 12336120 14392140 17270568 21588210 28784280 43176420 86352840