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10627422 = 23131971101
BaseRepresentation
bin101000100010…
…100101011110
3201222221002020
4220202211132
510210034142
61015441010
7156221511
oct50424536
921887066
1010627422
115aa95a3
123686166
132281320
1415a8d78
15dedcec
hexa2295e

10627422 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 3024000.

The previous prime is 10627387. The next prime is 10627423. The reversal of 10627422 is 22472601.

It is a super-2 number, since 2×106274222 = 225884196732168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10627392 and 10627401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10627423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105172 + ... + 105272.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 210627422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10627422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

10627422 is an abundant number, since it is smaller than the sum of its proper divisors (14048418).

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

10627422 is a wasteful number, since it uses less digits than its factorization.

10627422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10627422 is about 3259.9726992722. The cubic root of 10627422 is about 219.8581868430.

The spelling of 10627422 in words is "ten million, six hundred twenty-seven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 71 78 101 114 142 202 213 247 303 426 494 606 741 923 1313 1349 1482 1846 1919 2626 2698 2769 3838 3939 4047 5538 5757 7171 7878 8094 11514 14342 17537 21513 24947 35074 43026 49894 52611 74841 93223 105222 136249 149682 186446 272498 279669 408747 559338 817494 1771237 3542474 5313711 10627422