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86561420 = 225112317107
BaseRepresentation
bin1010010100011…
…01001010001100
320000212202221112
411022031022030
5134124431140
612331151152
72100521441
oct512151214
9200782845
1086561420
1144952970
1224ba54b8
1314c19a9a
14b6d39c8
1578ecc65
hex528d28c

86561420 has 48 divisors (see below), whose sum is σ = 206938368. Its totient is φ = 30106560.

The previous prime is 86561407. The next prime is 86561471. The reversal of 86561420 is 2416568.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3494 + ... + 13613.

It is an arithmetic number, because the mean of its divisors is an integer number (4311216).

Almost surely, 286561420 is an apocalyptic number.

It is an amenable number.

86561420 is an abundant number, since it is smaller than the sum of its proper divisors (120376948).

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

86561420 is a wasteful number, since it uses less digits than its factorization.

86561420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17150 (or 17148 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 86561420 is about 9303.8389925880. The cubic root of 86561420 is about 442.3589216917.

Adding to 86561420 its reverse (2416568), we get a palindrome (88977988).

The spelling of 86561420 in words is "eighty-six million, five hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 17107 34214 68428 85535 171070 188177 342140 376354 393461 752708 786922 940885 1573844 1881770 1967305 3763540 3934610 4328071 7869220 8656142 17312284 21640355 43280710 86561420