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290920896 = 263478017
BaseRepresentation
bin10001010101110…
…001100111000000
3202021102022110000
4101111301213000
51043433432041
644511240000
710131533610
oct2125614700
9667368400
10290920896
1113a2431a2
1281519000
134836c456
142a8cca40
151a818bb6
hex115719c0

290920896 has 140 divisors (see below), whose sum is σ = 985700848. Its totient is φ = 83109888.

The previous prime is 290920853. The next prime is 290920943. The reversal of 290920896 is 698029092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32280 + ... + 40296.

Almost surely, 2290920896 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 290920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492850424).

290920896 is an abundant number, since it is smaller than the sum of its proper divisors (694779952).

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

290920896 is an equidigital number, since it uses as much as digits as its factorization.

290920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8048 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 290920896 is about 17056.4033723408. The cubic root of 290920896 is about 662.6104876127.

The spelling of 290920896 in words is "two hundred ninety million, nine hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 8017 9072 12096 16034 18144 24051 32068 36288 48102 56119 64136 72153 96204 112238 128272 144306 168357 192408 216459 224476 256544 288612 336714 384816 432918 448952 505071 513088 577224 649377 673428 769632 865836 897904 1010142 1154448 1298754 1346856 1515213 1539264 1731672 1795808 2020284 2308896 2597508 2693712 3030426 3463344 3591616 4040568 4545639 4617792 5195016 5387424 6060852 6926688 8081136 9091278 10390032 10774848 12121704 13853376 16162272 18182556 20780064 24243408 32324544 36365112 41560128 48486816 72730224 96973632 145460448 290920896