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80690568 = 233717191487
BaseRepresentation
bin1001100111100…
…11110110001000
312121211111122120
410303303312020
5131124044233
612001251240
71666600320
oct463636610
9177744576
1080690568
1141603022
1223033b20
13139427ca
14aa06280
15713d4b3
hex4cf3d88

80690568 has 128 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 20542464.

The previous prime is 80690567. The next prime is 80690573. The reversal of 80690568 is 86509608.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (80690563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53521 + ... + 55007.

It is an arithmetic number, because the mean of its divisors is an integer number (2008800).

Almost surely, 280690568 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 80690568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

80690568 is an abundant number, since it is smaller than the sum of its proper divisors (176435832).

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

80690568 is a wasteful number, since it uses less digits than its factorization.

80690568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 80690568 is about 8982.7928841758. The cubic root of 80690568 is about 432.1232073131.

The spelling of 80690568 in words is "eighty million, six hundred ninety thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1487 1596 1938 2261 2584 2856 2974 3192 3876 4461 4522 5948 6783 7752 8922 9044 10409 11896 13566 17844 18088 20818 25279 27132 28253 31227 35688 41636 50558 54264 56506 62454 75837 83272 84759 101116 113012 124908 151674 169518 176953 197771 202232 226024 249816 303348 339036 353906 395542 480301 530859 593313 606696 678072 707812 791084 960602 1061718 1186626 1415624 1440903 1582168 1921204 2123436 2373252 2881806 3362107 3842408 4246872 4746504 5763612 6724214 10086321 11527224 13448428 20172642 26896856 40345284 80690568