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86396420 = 225112191879
BaseRepresentation
bin1010010011001…
…00111000000100
320000120101121102
411021210320010
5134104141140
612323435232
72066233415
oct511447004
9200511542
1086396420
114484aa00
1224b25b18
1314b8c956
14b68d80c
1578b8e15
hex5264e04

86396420 has 72 divisors (see below), whose sum is σ = 210033600. Its totient is φ = 29747520.

The previous prime is 86396419. The next prime is 86396437. The reversal of 86396420 is 2469368.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 45041 + ... + 46919.

Almost surely, 286396420 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 86396420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105016800).

86396420 is an abundant number, since it is smaller than the sum of its proper divisors (123637180).

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

86396420 is a wasteful number, since it uses less digits than its factorization.

86396420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 86396420 is about 9294.9674555643. The cubic root of 86396420 is about 442.0776738114.

The spelling of 86396420 in words is "eighty-six million, three hundred ninety-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 121 190 209 220 242 380 418 484 605 836 1045 1210 1879 2090 2299 2420 3758 4180 4598 7516 9196 9395 11495 18790 20669 22990 35701 37580 41338 45980 71402 82676 103345 142804 178505 206690 227359 357010 392711 413380 454718 714020 785422 909436 1136795 1570844 1963555 2273590 3927110 4319821 4547180 7854220 8639642 17279284 21599105 43198210 86396420