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10496416 = 25747997
BaseRepresentation
bin101000000010…
…100110100000
3201202021101011
4220002212200
510141341131
61012550304
7155134540
oct50024640
921667334
1010496416
115a1a127
123622394
1322367c8
141573320
15dc50b1
hexa029a0

10496416 has 48 divisors (see below), whose sum is σ = 24143616. Its totient is φ = 4398336.

The previous prime is 10496407. The next prime is 10496443. The reversal of 10496416 is 61469401.

It is a super-2 number, since 2×104964162 = 220349497690112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10030 + ... + 11026.

It is an arithmetic number, because the mean of its divisors is an integer number (502992).

Almost surely, 210496416 is an apocalyptic number.

10496416 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 10496416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12071808).

10496416 is an abundant number, since it is smaller than the sum of its proper divisors (13647200).

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

10496416 is an equidigital number, since it uses as much as digits as its factorization.

10496416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 10496416 is about 3239.8172787983. The cubic root of 10496416 is about 218.9510395614.

The spelling of 10496416 in words is "ten million, four hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 997 1316 1504 1994 2632 3988 5264 6979 7976 10528 13958 15952 27916 31904 46859 55832 93718 111664 187436 223328 328013 374872 656026 749744 1312052 1499488 2624104 5248208 10496416