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10706752 = 26723899
BaseRepresentation
bin101000110101…
…111101000000
3202010221220101
4220311331000
510220104002
61021252144
7160002010
oct50657500
922127811
1010706752
116053161
123704054
1322ab474
1415c9c40
15e17587
hexa35f40

10706752 has 28 divisors (see below), whose sum is σ = 24282400. Its totient is φ = 4588416.

The previous prime is 10706723. The next prime is 10706767. The reversal of 10706752 is 25760701.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×107067522 = 229269076779008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10706752.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 11502 + ... + 12397.

Almost surely, 210706752 is an apocalyptic number.

It is an amenable number.

10706752 is an abundant number, since it is smaller than the sum of its proper divisors (13575648).

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

10706752 is an equidigital number, since it uses as much as digits as its factorization.

10706752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23918 (or 23908 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 10706752 is about 3272.1173573086. The cubic root of 10706752 is about 220.4038861725.

The spelling of 10706752 in words is "ten million, seven hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 23899 47798 95596 167293 191192 334586 382384 669172 764768 1338344 1529536 2676688 5353376 10706752