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10995936 = 253716363
BaseRepresentation
bin101001111100…
…100011100000
3202200122120220
4221330203200
510303332221
61031403040
7162315060
oct51744340
922618526
1010995936
116230456
123823480
13237cc93
1416633a0
15e730c6
hexa7c8e0

10995936 has 48 divisors (see below), whose sum is σ = 32989824. Its totient is φ = 3141504.

The previous prime is 10995911. The next prime is 10995937. The reversal of 10995936 is 63959901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10995937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7510 + ... + 8853.

It is an arithmetic number, because the mean of its divisors is an integer number (687288).

Almost surely, 210995936 is an apocalyptic number.

10995936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10995936 is an abundant number, since it is smaller than the sum of its proper divisors (21993888).

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

10995936 is a wasteful number, since it uses less digits than its factorization.

10995936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16383 (or 16375 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 42.

The square root of 10995936 is about 3316.0120627042. The cubic root of 10995936 is about 222.3706170315.

The spelling of 10995936 in words is "ten million, nine hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 16363 32726 49089 65452 98178 114541 130904 196356 229082 261808 343623 392712 458164 523616 687246 785424 916328 1374492 1570848 1832656 2748984 3665312 5497968 10995936