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10683696 = 243733049
BaseRepresentation
bin101000110000…
…010100110000
3202002210021110
4220300110300
510213334241
61020553320
7156544542
oct50602460
922083243
1010683696
116037901
1236b2840
1322a0b1a
1415c1692
15e10816
hexa30530

10683696 has 40 divisors (see below), whose sum is σ = 27986800. Its totient is φ = 3511296.

The previous prime is 10683689. The next prime is 10683709. The reversal of 10683696 is 69638601.

It is a happy number.

It is a super-2 number, since 2×106836962 = 228282720440832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1980 + ... + 5028.

It is an arithmetic number, because the mean of its divisors is an integer number (699670).

Almost surely, 210683696 is an apocalyptic number.

10683696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10683696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13993400).

10683696 is an abundant number, since it is smaller than the sum of its proper divisors (17303104).

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

10683696 is a wasteful number, since it uses less digits than its factorization.

10683696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 10683696 is about 3268.5923575754. The cubic root of 10683696 is about 220.2455660154.

The spelling of 10683696 in words is "ten million, six hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3049 3504 6098 9147 12196 18294 24392 36588 48784 73176 146352 222577 445154 667731 890308 1335462 1780616 2670924 3561232 5341848 10683696