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812104704 = 210349791
BaseRepresentation
bin110000011001111…
…011110000000000
32002121010012020000
4300121323300000
53130344322304
6212330120000
726060530125
oct6031736000
92077105200
10812104704
11387459314
121a7b80000
13cc330738
1479bda74c
154b468939
hex3067bc00

812104704 has 110 divisors (see below), whose sum is σ = 2425351104. Its totient is φ = 270673920.

The previous prime is 812104703. The next prime is 812104729. The reversal of 812104704 is 407401218.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812104703) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78049 + ... + 87839.

Almost surely, 2812104704 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 812104704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212675552).

812104704 is an abundant number, since it is smaller than the sum of its proper divisors (1613246400).

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

812104704 is an equidigital number, since it uses as much as digits as its factorization.

812104704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9823 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 812104704 is about 28497.4508333640. The cubic root of 812104704 is about 932.9764367867.

The spelling of 812104704 in words is "eight hundred twelve million, one hundred four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 9791 10368 13824 19582 20736 27648 29373 39164 41472 58746 78328 82944 88119 117492 156656 176238 234984 264357 313312 352476 469968 528714 626624 704952 793071 939936 1057428 1253248 1409904 1586142 1879872 2114856 2506496 2819808 3172284 3759744 4229712 5012992 5639616 6344568 7519488 8459424 10025984 11279232 12689136 15038976 16918848 22558464 25378272 30077952 33837696 45116928 50756544 67675392 90233856 101513088 135350784 203026176 270701568 406052352 812104704