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11949696 = 2732112341
BaseRepresentation
bin101101100101…
…011010000000
3211111002220100
4231211122000
511024342241
61104042400
7203366523
oct55453200
924432810
1011949696
116821a90
124003400
132625135
141830bba
1510b09b6
hexb65680

11949696 has 192 divisors, whose sum is σ = 40098240. Its totient is φ = 3379200.

The previous prime is 11949671. The next prime is 11949701. The reversal of 11949696 is 69694911.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 291436 + ... + 291476.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 211949696 is an apocalyptic number.

11949696 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 11949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

11949696 is an abundant number, since it is smaller than the sum of its proper divisors (28148544).

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

11949696 is a wasteful number, since it uses less digits than its factorization.

11949696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 11949696 is about 3456.8332328882. The cubic root of 11949696 is about 228.6224909729.

The spelling of 11949696 in words is "eleven million, nine hundred forty-nine thousand, six hundred ninety-six".