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10626140 = 225731549
BaseRepresentation
bin101000100010…
…010001011100
3201222212022202
4220202101130
510210014030
61015431032
7156215000
oct50422134
921885282
1010626140
115aa8638
123685478
132280875
1415a8700
15ded745
hexa2245c

10626140 has 48 divisors (see below), whose sum is σ = 26040000. Its totient is φ = 3640896.

The previous prime is 10626137. The next prime is 10626163. The reversal of 10626140 is 4162601.

It is a happy number.

It is a super-2 number, since 2×106261402 = 225829702599200, 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 15 ways as a sum of consecutive naturals, for example, 6086 + ... + 7634.

It is an arithmetic number, because the mean of its divisors is an integer number (542500).

Almost surely, 210626140 is an apocalyptic number.

10626140 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 10626140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020000).

10626140 is an abundant number, since it is smaller than the sum of its proper divisors (15413860).

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

10626140 is a wasteful number, since it uses less digits than its factorization.

10626140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10626140 is about 3259.7760659285. The cubic root of 10626140 is about 219.8493458927.

Adding to 10626140 its reverse (4162601), we get a palindrome (14788741).

The spelling of 10626140 in words is "ten million, six hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1549 1715 3098 3430 6196 6860 7745 10843 15490 21686 30980 43372 54215 75901 108430 151802 216860 303604 379505 531307 759010 1062614 1518020 2125228 2656535 5313070 10626140