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10494912 = 263471163
BaseRepresentation
bin101000000010…
…001111000000
3201202012022110
4220002033000
510141314122
61012535320
7155130261
oct50021700
921665273
1010494912
115a18a8a
123621540
132235c0c
141572968
15dc490c
hexa023c0

10494912 has 56 divisors (see below), whose sum is σ = 28382976. Its totient is φ = 3420928.

The previous prime is 10494871. The next prime is 10494931. The reversal of 10494912 is 21949401.

It is a super-2 number, since 2×104949122 = 220286355775488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10494912.

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, 8443 + ... + 9605.

Almost surely, 210494912 is an apocalyptic number.

10494912 is a gapful number since it is divisible by the number (12) 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 10494912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191488).

10494912 is an abundant number, since it is smaller than the sum of its proper divisors (17888064).

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

10494912 is a wasteful number, since it uses less digits than its factorization.

10494912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10494912 is about 3239.5851586276. The cubic root of 10494912 is about 218.9405814490.

The spelling of 10494912 in words is "ten million, four hundred ninety-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1163 1504 2256 2326 3008 3489 4512 4652 6978 9024 9304 13956 18608 27912 37216 54661 55824 74432 109322 111648 163983 218644 223296 327966 437288 655932 874576 1311864 1749152 2623728 3498304 5247456 10494912