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86969820 = 22357533907
BaseRepresentation
bin1010010111100…
…00110111011100
320001122112011110
411023300313130
5134231013240
612344022020
72104142220
oct513606734
9201575143
1086969820
1145101793
1225161910
1315030942
14b79c780
15797dc80
hex52f0ddc

86969820 has 96 divisors (see below), whose sum is σ = 283627008. Its totient is φ = 19498752.

The previous prime is 86969797. The next prime is 86969833. The reversal of 86969820 is 2896968.

It is a self number, because there is not a number n which added to its sum of digits gives 86969820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20307 + ... + 24213.

It is an arithmetic number, because the mean of its divisors is an integer number (2954448).

Almost surely, 286969820 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 86969820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141813504).

86969820 is an abundant number, since it is smaller than the sum of its proper divisors (196657188).

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

86969820 is a wasteful number, since it uses less digits than its factorization.

86969820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 86969820 is about 9325.7610949455. The cubic root of 86969820 is about 443.0535190722.

The spelling of 86969820 in words is "eighty-six million, nine hundred sixty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 3907 4452 5565 7420 7814 11130 11721 15628 19535 22260 23442 27349 39070 46884 54698 58605 78140 82047 109396 117210 136745 164094 207071 234420 273490 328188 410235 414142 546980 621213 820470 828284 1035355 1242426 1449497 1640940 2070710 2484852 2898994 3106065 4141420 4348491 5797988 6212130 7247485 8696982 12424260 14494970 17393964 21742455 28989940 43484910 86969820