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86784012 = 22327521661
BaseRepresentation
bin1010010110000…
…11100000001100
320001022002021200
411023003200030
5134204042022
612340025500
72102436420
oct513034014
9201262250
1086784012
1144a95127
1225092290
1314c971b3
14b750b80
157943bac
hex52c380c

86784012 has 72 divisors (see below), whose sum is σ = 251570592. Its totient is φ = 24710400.

The previous prime is 86783999. The next prime is 86784041. The reversal of 86784012 is 21048768.

It is a super-4 number, since 4×867840124 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

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, 130962 + ... + 131622.

It is an arithmetic number, because the mean of its divisors is an integer number (3494036).

Almost surely, 286784012 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 86784012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125785296).

86784012 is an abundant number, since it is smaller than the sum of its proper divisors (164786580).

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

86784012 is a wasteful number, since it uses less digits than its factorization.

86784012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 86784012 is about 9315.7936859937. The cubic root of 86784012 is about 442.7377712851.

The spelling of 86784012 in words is "eighty-six million, seven hundred eighty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 521 661 1042 1322 1563 1983 2084 2644 3126 3647 3966 4627 4689 5949 6252 7294 7932 9254 9378 10941 11898 13881 14588 18508 18756 21882 23796 27762 32823 41643 43764 55524 65646 83286 131292 166572 344381 688762 1033143 1377524 2066286 2410667 3099429 4132572 4821334 6198858 7232001 9642668 12397716 14464002 21696003 28928004 43392006 86784012