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10947132 = 2232743441
BaseRepresentation
bin101001110000…
…101000111100
3202121011122100
4221300220330
510300302012
61030345100
7162022560
oct51605074
922534570
1010947132
1161a7819
1237bb190
1323639c1
14164d6a0
15e638dc
hexa70a3c

10947132 has 36 divisors (see below), whose sum is σ = 31625776. Its totient is φ = 3127680.

The previous prime is 10947113. The next prime is 10947137. The reversal of 10947132 is 23174901.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 10947096 and 10947105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10947137) 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, 21469 + ... + 21972.

Almost surely, 210947132 is an apocalyptic number.

10947132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10947132 is an abundant number, since it is smaller than the sum of its proper divisors (20678644).

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

10947132 is a wasteful number, since it uses less digits than its factorization.

10947132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43458 (or 43453 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10947132 is about 3308.6450398917. The cubic root of 10947132 is about 222.0411416324.

The spelling of 10947132 in words is "ten million, nine hundred forty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 43441 86882 130323 173764 260646 304087 390969 521292 608174 781938 912261 1216348 1563876 1824522 2736783 3649044 5473566 10947132