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10939152 = 243724651
BaseRepresentation
bin101001101110…
…101100010000
3202120202200210
4221232230100
510300023102
61030244120
7161660400
oct51565420
922522623
1010939152
1161a1824
1237b6640
132360193
14164a800
15e6136c
hexa6eb10

10939152 has 60 divisors (see below), whose sum is σ = 32880336. Its totient is φ = 3124800.

The previous prime is 10939141. The next prime is 10939153. The reversal of 10939152 is 25193901.

It is not an unprimeable number, because it can be changed into a prime (10939153) 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 11 ways as a sum of consecutive naturals, for example, 27 + ... + 4677.

Almost surely, 210939152 is an apocalyptic number.

10939152 is a gapful number since it is divisible by the number (12) 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 10939152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16440168).

10939152 is an abundant number, since it is smaller than the sum of its proper divisors (21941184).

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

10939152 is a wasteful number, since it uses less digits than its factorization.

10939152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 10939152 is about 3307.4388883243. The cubic root of 10939152 is about 221.9871756247.

The spelling of 10939152 in words is "ten million, nine hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 4651 9302 13953 18604 27906 32557 37208 55812 65114 74416 97671 111624 130228 195342 223248 227899 260456 390684 455798 520912 683697 781368 911596 1367394 1562736 1823192 2734788 3646384 5469576 10939152