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10742464 = 26533167
BaseRepresentation
bin101000111110…
…101011000000
3202012202220001
4220332223000
510222224324
61022125344
7160211065
oct50765300
922182801
1010742464
116077a77
123720854
1322c17b5
1415d8c6c
15e22e44
hexa3eac0

10742464 has 28 divisors (see below), whose sum is σ = 21726144. Its totient is φ = 5268224.

The previous prime is 10742447. The next prime is 10742471. The reversal of 10742464 is 46424701.

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, 1809 + ... + 4975.

Almost surely, 210742464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10863072).

10742464 is an abundant number, since it is smaller than the sum of its proper divisors (10983680).

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

10742464 is an equidigital number, since it uses as much as digits as its factorization.

10742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 10742464 is about 3277.5698314452. The cubic root of 10742464 is about 220.6486640642.

The spelling of 10742464 in words is "ten million, seven hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3167 3392 6334 12668 25336 50672 101344 167851 202688 335702 671404 1342808 2685616 5371232 10742464