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10304727040 = 21155931697
BaseRepresentation
bin10011001100011010…
…11010100000000000
3222121011011101001001
421212031122200000
5132101002231130
64422310021344
7513234506656
oct114615324000
928534141031
1010304727040
114408827a43
121bb7047854
13c82b81a2a
146da806dd6
15404a026ca
hex26635a800

10304727040 has 96 divisors (see below), whose sum is σ = 24781596840. Its totient is φ = 4112515072.

The previous prime is 10304727031. The next prime is 10304727067. The reversal of 10304727040 is 4072740301.

It can be written as a sum of positive squares in 4 ways, for example, as 10180002816 + 124724224 = 100896^2 + 11168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6071472 + ... + 6073168.

Almost surely, 210304727040 is an apocalyptic number.

10304727040 is a gapful number since it is divisible by the number (10) 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 10304727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390798420).

10304727040 is an abundant number, since it is smaller than the sum of its proper divisors (14476869800).

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

10304727040 is an equidigital number, since it uses as much as digits as its factorization.

10304727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 10304727040 in words is "ten billion, three hundred four million, seven hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 593 640 1024 1186 1280 1697 2048 2372 2560 2965 3394 4744 5120 5930 6788 8485 9488 10240 11860 13576 16970 18976 23720 27152 33940 37952 47440 54304 67880 75904 94880 108608 135760 151808 189760 217216 271520 303616 379520 434432 543040 607232 759040 868864 1006321 1086080 1214464 1518080 1737728 2012642 2172160 3036160 3475456 4025284 4344320 5031605 6072320 8050568 8688640 10063210 16101136 17377280 20126420 32202272 40252840 64404544 80505680 128809088 161011360 257618176 322022720 515236352 644045440 1030472704 1288090880 2060945408 2576181760 5152363520 10304727040