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10627040 = 255173907
BaseRepresentation
bin101000100010…
…011111100000
3201222220120002
4220202133200
510210031130
61015435132
7156220424
oct50423740
921886502
1010627040
115aa9286
123685aa8
1322810b8
1415a8b84
15dedb45
hexa227e0

10627040 has 48 divisors (see below), whose sum is σ = 26590032. Its totient is φ = 3999744.

The previous prime is 10627039. The next prime is 10627069. The reversal of 10627040 is 4072601.

It is a super-2 number, since 2×106270402 = 225867958323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 767 + ... + 4673.

It is an arithmetic number, because the mean of its divisors is an integer number (553959).

Almost surely, 210627040 is an apocalyptic number.

10627040 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 10627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13295016).

10627040 is an abundant number, since it is smaller than the sum of its proper divisors (15962992).

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

10627040 is a wasteful number, since it uses less digits than its factorization.

10627040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 10627040 is about 3259.9141092980. The cubic root of 10627040 is about 219.8555525625.

Adding to 10627040 its reverse (4072601), we get a palindrome (14699641).

The spelling of 10627040 in words is "ten million, six hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 3907 7814 15628 19535 31256 39070 62512 66419 78140 125024 132838 156280 265676 312560 332095 531352 625120 664190 1062704 1328380 2125408 2656760 5313520 10627040