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10622720 = 28543193
BaseRepresentation
bin101000100001…
…011100000000
3201222200122002
4220201130000
510204411340
61015403132
7156202013
oct50413400
921880562
1010622720
115aa6009
1236834a8
13227c144
1415a737a
15dec715
hexa21700

10622720 has 72 divisors (see below), whose sum is σ = 26171376. Its totient is φ = 4128768.

The previous prime is 10622713. The next prime is 10622747. The reversal of 10622720 is 2722601.

It is a super-2 number, since 2×106227202 = 225684360396800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10622692 and 10622701.

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, 54944 + ... + 55136.

Almost surely, 210622720 is an apocalyptic number.

10622720 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 10622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13085688).

10622720 is an abundant number, since it is smaller than the sum of its proper divisors (15548656).

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

10622720 is an equidigital number, since it uses as much as digits as its factorization.

10622720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

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

The square root of 10622720 is about 3259.2514478021. The cubic root of 10622720 is about 219.8257573510.

The spelling of 10622720 in words is "ten million, six hundred twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 193 215 256 320 344 386 430 640 688 772 860 965 1280 1376 1544 1720 1930 2752 3088 3440 3860 5504 6176 6880 7720 8299 11008 12352 13760 15440 16598 24704 27520 30880 33196 41495 49408 55040 61760 66392 82990 123520 132784 165980 247040 265568 331960 531136 663920 1062272 1327840 2124544 2655680 5311360 10622720