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10675040 = 255137487
BaseRepresentation
bin101000101110…
…001101100000
3202002100101212
4220232031200
510213100130
61020445252
7156510365
oct50561540
922070355
1010675040
116031352
1236a9828
132299bbc
1415bc46c
15e0ce95
hexa2e360

10675040 has 48 divisors (see below), whose sum is σ = 25456032. Its totient is φ = 4230144.

The previous prime is 10675039. The next prime is 10675057. The reversal of 10675040 is 4057601.

It is a super-2 number, since 2×106750402 = 227912958003200, which contains 22 as substring.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 10674997 and 10675015.

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, 21677 + ... + 22163.

It is an arithmetic number, because the mean of its divisors is an integer number (530334).

Almost surely, 210675040 is an apocalyptic number.

10675040 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 10675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12728016).

10675040 is an abundant number, since it is smaller than the sum of its proper divisors (14780992).

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

10675040 is a wasteful number, since it uses less digits than its factorization.

10675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10675040 is about 3267.2679718689. The cubic root of 10675040 is about 220.1860684806.

The spelling of 10675040 in words is "ten million, six hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 487 548 685 974 1096 1370 1948 2192 2435 2740 3896 4384 4870 5480 7792 9740 10960 15584 19480 21920 38960 66719 77920 133438 266876 333595 533752 667190 1067504 1334380 2135008 2668760 5337520 10675040