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812032104 = 2331331591423
BaseRepresentation
bin110000011001101…
…010000001101000
32002120222111122010
4300121222001220
53130340011404
6212324355520
726060105352
oct6031520150
92076874563
10812032104
11387409814
121a7b45ba0
13cc306690
1479bbc0d2
154b452189
hex3066a068

812032104 has 128 divisors (see below), whose sum is σ = 2296627200. Its totient is φ = 237530880.

The previous prime is 812032097. The next prime is 812032139. The reversal of 812032104 is 401230218.

It is a super-2 number, since 2×8120321042 = 1318792275853333632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569937 + ... + 571359.

It is an arithmetic number, because the mean of its divisors is an integer number (17942400).

Almost surely, 2812032104 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 812032104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148313600).

812032104 is an abundant number, since it is smaller than the sum of its proper divisors (1484595096).

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

812032104 is a wasteful number, since it uses less digits than its factorization.

812032104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 812032104 is about 28496.1770067495. The cubic root of 812032104 is about 932.9486340877.

The spelling of 812032104 in words is "eight hundred twelve million, thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 59 62 78 93 104 118 124 156 177 186 236 248 312 354 372 403 472 708 744 767 806 1209 1416 1423 1534 1612 1829 2301 2418 2846 3068 3224 3658 4269 4602 4836 5487 5692 6136 7316 8538 9204 9672 10974 11384 14632 17076 18408 18499 21948 23777 34152 36998 43896 44113 47554 55497 71331 73996 83957 88226 95108 110994 132339 142662 147992 167914 176452 190216 221988 251871 264678 285324 335828 352904 443976 503742 529356 570648 573469 671656 1007484 1058712 1091441 1146938 1720407 2014968 2182882 2293876 2602667 3274323 3440814 4365764 4587752 5205334 6548646 6881628 7808001 8731528 10410668 13097292 13763256 15616002 20821336 26194584 31232004 33834671 62464008 67669342 101504013 135338684 203008026 270677368 406016052 812032104