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681034176 = 26331920743
BaseRepresentation
bin101000100101111…
…100000111000000
31202110111010021000
4220211330013000
52343321043201
6151324532000
722606460244
oct5045740700
91673433230
10681034176
1131a476069
121700b1000
13ab12b904
146663c424
153ebc7d86
hex2897c1c0

681034176 has 112 divisors (see below), whose sum is σ = 2107590400. Its totient is φ = 215053056.

The previous prime is 681034171. The next prime is 681034181. The reversal of 681034176 is 671430186.

It is an interprime number because it is at equal distance from previous prime (681034171) and next prime (681034181).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 681034176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681034171) 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, 22461 + ... + 43203.

Almost surely, 2681034176 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 681034176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053795200).

681034176 is an abundant number, since it is smaller than the sum of its proper divisors (1426556224).

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

681034176 is a wasteful number, since it uses less digits than its factorization.

681034176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20783 (or 20767 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 681034176 is about 26096.6315067673. The cubic root of 681034176 is about 879.8115023260.

The spelling of 681034176 in words is "six hundred eighty-one million, thirty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 20743 32832 41486 62229 82972 124458 165944 186687 248916 331888 373374 394117 497832 560061 663776 746748 788234 995664 1120122 1182351 1327552 1493496 1576468 1991328 2240244 2364702 2986992 3152936 3547053 3982656 4480488 4729404 5973984 6305872 7094106 8960976 9458808 10641159 11947968 12611744 14188212 17921952 18917616 21282318 25223488 28376424 35843904 37835232 42564636 56752848 75670464 85129272 113505696 170258544 227011392 340517088 681034176