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682991136 = 25336112959
BaseRepresentation
bin101000101101011…
…001111000100000
31202121011112201000
4220231121320200
52344321204021
6151434512000
722632220542
oct5055317040
91677145630
10682991136
11320592393
12170895600
13ab665589
14669cb692
153ee62b26
hex28b59e20

682991136 has 96 divisors (see below), whose sum is σ = 2024870400. Its totient is φ = 223914240.

The previous prime is 682991123. The next prime is 682991137. The reversal of 682991136 is 631199286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 682991091 and 682991100.

It is not an unprimeable number, because it can be changed into a prime (682991137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46225 + ... + 59183.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2682991136 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 682991136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012435200).

682991136 is an abundant number, since it is smaller than the sum of its proper divisors (1341879264).

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

682991136 is a wasteful number, since it uses less digits than its factorization.

682991136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13039 (or 13025 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 682991136 is about 26134.0991044268. The cubic root of 682991136 is about 880.6534127831.

The spelling of 682991136 in words is "six hundred eighty-two million, nine hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2928 3294 4392 5856 6588 8784 12959 13176 17568 25918 26352 38877 51836 52704 77754 103672 116631 155508 207344 233262 311016 349893 414688 466524 622032 699786 790499 933048 1244064 1399572 1580998 1866096 2371497 2799144 3161996 3732192 4742994 5598288 6323992 7114491 9485988 11196576 12647984 14228982 18971976 21343473 25295968 28457964 37943952 42686946 56915928 75887904 85373892 113831856 170747784 227663712 341495568 682991136