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80690688 = 293313449
BaseRepresentation
bin1001100111100…
…11111000000000
312121211111211000
410303303320000
5131124100223
612001252000
71666600551
oct463637000
9177744730
1080690688
1141603121
1223034000
1313942890
14aa06328
15713d543
hex4cf3e00

80690688 has 160 divisors (see below), whose sum is σ = 257796000. Its totient is φ = 24772608.

The previous prime is 80690683. The next prime is 80690699. The reversal of 80690688 is 88609608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80690683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179488 + ... + 179936.

It is an arithmetic number, because the mean of its divisors is an integer number (1611225).

Almost surely, 280690688 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 80690688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128898000).

80690688 is an abundant number, since it is smaller than the sum of its proper divisors (177105312).

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

80690688 is a wasteful number, since it uses less digits than its factorization.

80690688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 80690688 is about 8982.7995636104. The cubic root of 80690688 is about 432.1234215255.

The spelling of 80690688 in words is "eighty million, six hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 449 468 512 576 624 702 768 832 864 898 936 1152 1248 1347 1404 1536 1664 1728 1796 1872 2304 2496 2694 2808 3328 3456 3592 3744 4041 4608 4992 5388 5616 5837 6656 6912 7184 7488 8082 9984 10776 11232 11674 12123 13824 14368 14976 16164 17511 19968 21552 22464 23348 24246 28736 29952 32328 35022 43104 44928 46696 48492 52533 57472 59904 64656 70044 86208 89856 93392 96984 105066 114944 129312 140088 157599 172416 179712 186784 193968 210132 229888 258624 280176 315198 344832 373568 387936 420264 517248 560352 630396 689664 747136 775872 840528 1034496 1120704 1260792 1494272 1551744 1681056 2068992 2241408 2521584 2988544 3103488 3362112 4482816 5043168 6206976 6724224 8965632 10086336 13448448 20172672 26896896 40345344 80690688