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681214968 = 233371972287
BaseRepresentation
bin101000100110101…
…000001111111000
31202110211022021000
4220212220033320
52343342334333
6151332445000
722611142320
oct5046501770
91673738230
10681214968
1131a589985
12170179760
13ab192ca5
1466688280
153ec11713
hex289a83f8

681214968 has 128 divisors (see below), whose sum is σ = 2174515200. Its totient is φ = 193560192.

The previous prime is 681214957. The next prime is 681215021. The reversal of 681214968 is 869412186.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296721 + ... + 299007.

It is an arithmetic number, because the mean of its divisors is an integer number (16988400).

Almost surely, 2681214968 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 681214968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087257600).

681214968 is an abundant number, since it is smaller than the sum of its proper divisors (1493300232).

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

681214968 is a wasteful number, since it uses less digits than its factorization.

681214968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2496 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 681214968 is about 26100.0951722403. The cubic root of 681214968 is about 879.8893490350.

The spelling of 681214968 in words is "six hundred eighty-one million, two hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 197 216 252 378 394 504 591 756 788 1182 1379 1512 1576 1773 2287 2364 2758 3546 4137 4574 4728 5319 5516 6861 7092 8274 9148 10638 11032 12411 13722 14184 16009 16548 18296 20583 21276 24822 27444 32018 33096 37233 41166 42552 48027 49644 54888 61749 64036 74466 82332 96054 99288 123498 128072 144081 148932 164664 192108 246996 288162 297864 384216 432243 450539 493992 576324 864486 901078 1152648 1351617 1728972 1802156 2703234 3153773 3457944 3604312 4054851 5406468 6307546 8109702 9461319 10812936 12164553 12615092 16219404 18922638 24329106 25230184 28383957 32438808 37845276 48658212 56767914 75690552 85151871 97316424 113535828 170303742 227071656 340607484 681214968