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10706464 = 251719681
BaseRepresentation
bin101000110101…
…111000100000
3202010221111201
4220311320200
510220101324
61021250544
7160001116
oct50657040
922127451
1010706464
116052a1a
123703a54
1322ab2b2
1415c9ab6
15e17444
hexa35e20

10706464 has 24 divisors (see below), whose sum is σ = 22319388. Its totient is φ = 5038080.

The previous prime is 10706461. The next prime is 10706473. The reversal of 10706464 is 46460701.

It can be written as a sum of positive squares in 2 ways, for example, as 8456464 + 2250000 = 2908^2 + 1500^2 .

It is a super-2 number, since 2×107064642 = 229256742766592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10706461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9297 + ... + 10384.

Almost surely, 210706464 is an apocalyptic number.

It is an amenable number.

10706464 is an abundant number, since it is smaller than the sum of its proper divisors (11612924).

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

10706464 is a wasteful number, since it uses less digits than its factorization.

10706464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19708 (or 19700 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 10706464 is about 3272.0733488111. The cubic root of 10706464 is about 220.4019099464.

The spelling of 10706464 in words is "ten million, seven hundred six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 19681 39362 78724 157448 314896 334577 629792 669154 1338308 2676616 5353232 10706464