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10494432 = 2532132803
BaseRepresentation
bin101000000010…
…000111100000
3201202011122200
4220002013200
510141310212
61012533200
7155126004
oct50020740
921664580
1010494432
115a18693
123621200
132235930
141572704
15dc46dc
hexa021e0

10494432 has 72 divisors (see below), whose sum is σ = 32150664. Its totient is φ = 3227904.

The previous prime is 10494413. The next prime is 10494443. The reversal of 10494432 is 23449401.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×104944322 = 220266206005248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10494396 and 10494405.

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 11 ways as a sum of consecutive naturals, for example, 2343 + ... + 5145.

It is an arithmetic number, because the mean of its divisors is an integer number (446537).

Almost surely, 210494432 is an apocalyptic number.

10494432 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 10494432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075332).

10494432 is an abundant number, since it is smaller than the sum of its proper divisors (21656232).

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

10494432 is a wasteful number, since it uses less digits than its factorization.

10494432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10494432 is about 3239.5110742209. The cubic root of 10494432 is about 218.9372435433.

It can be divided in two parts, 104944 and 32, that added together give a 4-th power (104976 = 184).

The spelling of 10494432 in words is "ten million, four hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 2803 3744 5606 8409 11212 16818 22424 25227 33636 36439 44848 50454 67272 72878 89696 100908 109317 134544 145756 201816 218634 269088 291512 327951 403632 437268 583024 655902 807264 874536 1166048 1311804 1749072 2623608 3498144 5247216 10494432