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681400008 = 2332293071063
BaseRepresentation
bin101000100111010…
…101011011001000
31202111011201002100
4220213111123020
52343414300013
6151340433400
722612542642
oct5047253310
91674151070
10681400008
1131a6a5a03
12170248860
13ab229293
14666d5892
153ec4b473
hex289d56c8

681400008 has 96 divisors (see below), whose sum is σ = 1917115200. Its totient is φ = 218381184.

The previous prime is 681399997. The next prime is 681400039. The reversal of 681400008 is 800004186.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640485 + ... + 641547.

It is an arithmetic number, because the mean of its divisors is an integer number (19969950).

Almost surely, 2681400008 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 681400008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958557600).

681400008 is an abundant number, since it is smaller than the sum of its proper divisors (1235715192).

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

681400008 is a wasteful number, since it uses less digits than its factorization.

681400008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 681400008 is about 26103.6397462116. The cubic root of 681400008 is about 879.9690106167.

It can be divided in two parts, 681 and 400008, that added together give a square (400689 = 6332).

The spelling of 681400008 in words is "six hundred eighty-one million, four hundred thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 307 348 522 614 696 921 1044 1063 1228 1842 2088 2126 2456 2763 3189 3684 4252 5526 6378 7368 8504 8903 9567 11052 12756 17806 19134 22104 25512 26709 30827 35612 38268 53418 61654 71224 76536 80127 92481 106836 123308 160254 184962 213672 246616 277443 320508 326341 369924 554886 641016 652682 739848 979023 1109772 1305364 1958046 2219544 2610728 2937069 3916092 5874138 7832184 9463889 11748276 18927778 23496552 28391667 37855556 56783334 75711112 85175001 113566668 170350002 227133336 340700004 681400008