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10706532 = 22317311693
BaseRepresentation
bin101000110101…
…111001100100
3202010221121020
4220311321210
510220102112
61021251140
7160001244
oct50657144
922127536
1010706532
116052a81
123703ab0
1322ab335
1415c9b24
15e1748c
hexa35e64

10706532 has 48 divisors (see below), whose sum is σ = 27320832. Its totient is φ = 3248640.

The previous prime is 10706503. The next prime is 10706543. The reversal of 10706532 is 23560701.

10706532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107065322 = 229259654934048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5478 + ... + 7170.

It is an arithmetic number, because the mean of its divisors is an integer number (569184).

Almost surely, 210706532 is an apocalyptic number.

10706532 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 10706532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660416).

10706532 is an abundant number, since it is smaller than the sum of its proper divisors (16614300).

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

10706532 is a wasteful number, since it uses less digits than its factorization.

10706532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 10706532 is about 3272.0837397597. The cubic root of 10706532 is about 220.4023765586.

The spelling of 10706532 in words is "ten million, seven hundred six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 1693 2108 3162 3386 5079 6324 6772 10158 20316 28781 52483 57562 86343 104966 115124 157449 172686 209932 314898 345372 629796 892211 1784422 2676633 3568844 5353266 10706532