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10625142 = 23111937229
BaseRepresentation
bin101000100010…
…000001110110
3201222210221210
4220202001312
510210001032
61015422250
7156212043
oct50420166
921883853
1010625142
115aa7910
123684986
132280288
1415a81ca
15ded2cc
hexa22076

10625142 has 64 divisors (see below), whose sum is σ = 25171200. Its totient is φ = 2954880.

The previous prime is 10625101. The next prime is 10625143. The reversal of 10625142 is 24152601.

It is a super-2 number, since 2×106251422 = 225787285040328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10625143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46284 + ... + 46512.

It is an arithmetic number, because the mean of its divisors is an integer number (393300).

Almost surely, 210625142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10625142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585600).

10625142 is an abundant number, since it is smaller than the sum of its proper divisors (14546058).

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

10625142 is a wasteful number, since it uses less digits than its factorization.

10625142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10625142 is about 3259.6229843342. The cubic root of 10625142 is about 219.8424629758.

Adding to 10625142 its reverse (24152601), we get a palindrome (34777743).

The spelling of 10625142 in words is "ten million, six hundred twenty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 229 407 418 458 627 687 703 814 1221 1254 1374 1406 2109 2442 2519 4218 4351 5038 7557 7733 8473 8702 13053 15114 15466 16946 23199 25419 26106 46398 47861 50838 93203 95722 143583 160987 186406 279609 287166 321974 482961 559218 965922 1770857 3541714 5312571 10625142