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86622920 = 23537107547
BaseRepresentation
bin1010010100111…
…00001011001000
320000222220022022
411022130023020
5134133413140
612332344012
72101165646
oct512341310
9200886268
1086622920
114499509a
1225015008
1314c3ba87
14b70c196
1579110b5
hex529c2c8

86622920 has 64 divisors (see below), whose sum is σ = 202409280. Its totient is φ = 33336576.

The previous prime is 86622917. The next prime is 86622923. The reversal of 86622920 is 2922668.

It is an interprime number because it is at equal distance from previous prime (86622917) and next prime (86622923).

It is not an unprimeable number, because it can be changed into a prime (86622923) by changing a digit.

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, 158087 + ... + 158633.

It is an arithmetic number, because the mean of its divisors is an integer number (3162645).

Almost surely, 286622920 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 86622920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101204640).

86622920 is an abundant number, since it is smaller than the sum of its proper divisors (115786360).

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

86622920 is a wasteful number, since it uses less digits than its factorization.

86622920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 86622920 is about 9307.1434930380. The cubic root of 86622920 is about 442.4636590113.

The spelling of 86622920 in words is "eighty-six million, six hundred twenty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 107 148 185 214 296 370 428 535 547 740 856 1070 1094 1480 2140 2188 2735 3959 4280 4376 5470 7918 10940 15836 19795 20239 21880 31672 39590 40478 58529 79180 80956 101195 117058 158360 161912 202390 234116 292645 404780 468232 585290 809560 1170580 2165573 2341160 4331146 8662292 10827865 17324584 21655730 43311460 86622920