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10494560 = 255107613
BaseRepresentation
bin101000000010…
…001001100000
3201202011211102
4220002021200
510141311220
61012533532
7155126246
oct50021140
921664742
1010494560
115a1879a
1236212a8
1322359cb
141572796
15dc4775
hexa02260

10494560 has 48 divisors (see below), whose sum is σ = 25065936. Its totient is φ = 4151808.

The previous prime is 10494557. The next prime is 10494599. The reversal of 10494560 is 6549401.

It is a super-2 number, since 2×104945602 = 220271579187200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16814 + ... + 17426.

It is an arithmetic number, because the mean of its divisors is an integer number (522207).

Almost surely, 210494560 is an apocalyptic number.

10494560 is a gapful number since it is divisible by the number (10) 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 10494560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12532968).

10494560 is an abundant number, since it is smaller than the sum of its proper divisors (14571376).

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

10494560 is a wasteful number, since it uses less digits than its factorization.

10494560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 10494560 is about 3239.5308302284. The cubic root of 10494560 is about 218.9381336614.

The spelling of 10494560 in words is "ten million, four hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 613 856 1070 1226 1712 2140 2452 3065 3424 4280 4904 6130 8560 9808 12260 17120 19616 24520 49040 65591 98080 131182 262364 327955 524728 655910 1049456 1311820 2098912 2623640 5247280 10494560