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10696896 = 263272379
BaseRepresentation
bin101000110011…
…100011000000
3202010110101100
4220303203000
510214300041
61021134400
7156631200
oct50634300
922113340
1010696896
116046811
1236ba400
1322a6b32
1415c6400
15e146b6
hexa338c0

10696896 has 126 divisors (see below), whose sum is σ = 35760660. Its totient is φ = 3048192.

The previous prime is 10696883. The next prime is 10696913. The reversal of 10696896 is 69869601.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×106968962 = 228847168069632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28035 + ... + 28413.

Almost surely, 210696896 is an apocalyptic number.

10696896 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 10696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17880330).

10696896 is an abundant number, since it is smaller than the sum of its proper divisors (25063764).

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

10696896 is a wasteful number, since it uses less digits than its factorization.

10696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 391 counting only the distinct ones).

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

The square root of 10696896 is about 3270.6109521005. The cubic root of 10696896 is about 220.3362351673.

The spelling of 10696896 in words is "ten million, six hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 379 392 441 448 504 576 588 672 758 784 882 1008 1137 1176 1344 1516 1568 1764 2016 2274 2352 2653 3032 3136 3411 3528 4032 4548 4704 5306 6064 6822 7056 7959 9096 9408 10612 12128 13644 14112 15918 18192 18571 21224 23877 24256 27288 28224 31836 36384 37142 42448 47754 54576 55713 63672 72768 74284 84896 95508 109152 111426 127344 148568 167139 169792 191016 218304 222852 254688 297136 334278 382032 445704 509376 594272 668556 764064 891408 1188544 1337112 1528128 1782816 2674224 3565632 5348448 10696896