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86997040 = 24513233637
BaseRepresentation
bin1010010111101…
…11100000110000
320001200220111121
411023313200300
5134232401130
612344352024
72104314454
oct513674060
9201626447
1086997040
1145120189
1225175614
1315040150
14b7a8664
157986d7a
hex52f7830

86997040 has 80 divisors (see below), whose sum is σ = 227360448. Its totient is φ = 30716928.

The previous prime is 86997037. The next prime is 86997049. The reversal of 86997040 is 4079968.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (86997049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22102 + ... + 25738.

Almost surely, 286997040 is an apocalyptic number.

86997040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86997040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113680224).

86997040 is an abundant number, since it is smaller than the sum of its proper divisors (140363408).

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

86997040 is a wasteful number, since it uses less digits than its factorization.

86997040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 86997040 is about 9327.2203790840. The cubic root of 86997040 is about 443.0997368630.

The spelling of 86997040 in words is "eighty-six million, nine hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 3637 4784 5980 7274 11960 14548 18185 23920 29096 36370 47281 58192 72740 83651 94562 145480 167302 189124 236405 290960 334604 378248 418255 472810 669208 756496 836510 945620 1087463 1338416 1673020 1891240 2174926 3346040 3782480 4349852 5437315 6692080 8699704 10874630 17399408 21749260 43498520 86997040