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10740632 = 2372331269
BaseRepresentation
bin101000111110…
…001110011000
3202012200101012
4220332032120
510222200012
61022113052
7160202540
oct50761630
922180335
1010740632
116076661
12371b788
1322c0a06
1415d8320
15e22622
hexa3e398

10740632 has 64 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 4245120.

The previous prime is 10740607. The next prime is 10740659. The reversal of 10740632 is 23604701.

10740632 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 2×107406322 = 230722351518848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 10740598 and 10740607.

It is a congruent number.

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, 39794 + ... + 40062.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 210740632 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 10740632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

10740632 is an abundant number, since it is smaller than the sum of its proper divisors (14142568).

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

10740632 is a wasteful number, since it uses less digits than its factorization.

10740632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 10740632 is about 3277.2903441715. The cubic root of 10740632 is about 220.6361203457.

The spelling of 10740632 in words is "ten million, seven hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 31 46 56 62 92 124 161 184 217 248 269 322 434 538 644 713 868 1076 1288 1426 1736 1883 2152 2852 3766 4991 5704 6187 7532 8339 9982 12374 15064 16678 19964 24748 33356 39928 43309 49496 58373 66712 86618 116746 173236 191797 233492 346472 383594 466984 767188 1342579 1534376 2685158 5370316 10740632