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10870496 = 257133733
BaseRepresentation
bin101001011101…
…111011100000
3202110021111222
4221131323200
510240323441
61024554212
7161253260
oct51357340
922407458
1010870496
11615518a
123782968
132337b60
14162d7a0
15e4ad4b
hexa5dee0

10870496 has 48 divisors (see below), whose sum is σ = 26347104. Its totient is φ = 4299264.

The previous prime is 10870481. The next prime is 10870501. The reversal of 10870496 is 69407801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1046 + ... + 4778.

It is an arithmetic number, because the mean of its divisors is an integer number (548898).

Almost surely, 210870496 is an apocalyptic number.

10870496 is a gapful number since it is divisible by the number (16) 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 10870496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13173552).

10870496 is an abundant number, since it is smaller than the sum of its proper divisors (15476608).

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

10870496 is a wasteful number, since it uses less digits than its factorization.

10870496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 10870496 is about 3297.0435241289. The cubic root of 10870496 is about 221.5217907486.

The spelling of 10870496 in words is "ten million, eight hundred seventy thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3733 7466 14932 26131 29864 48529 52262 59728 97058 104524 119456 194116 209048 339703 388232 418096 679406 776464 836192 1358812 1552928 2717624 5435248 10870496