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10042956 = 22327113623
BaseRepresentation
bin100110010011…
…111001001100
3200220020100100
4212103321030
510032333311
6555131100
7151235520
oct46237114
920806310
1010042956
11573a470
123443a90
1321082a1
141495d80
15d35a56
hex993e4c

10042956 has 72 divisors (see below), whose sum is σ = 31659264. Its totient is φ = 2607840.

The previous prime is 10042943. The next prime is 10042957. The reversal of 10042956 is 65924001.

10042956 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10042957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961 + ... + 4583.

It is an arithmetic number, because the mean of its divisors is an integer number (439712).

Almost surely, 210042956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829632).

10042956 is an abundant number, since it is smaller than the sum of its proper divisors (21616308).

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

10042956 is a wasteful number, since it uses less digits than its factorization.

10042956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10042956 is about 3169.0623218864. The cubic root of 10042956 is about 215.7515146648.

Adding to 10042956 its reverse (65924001), we get a palindrome (75966957).

The spelling of 10042956 in words is "ten million, forty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3623 7246 10869 14492 21738 25361 32607 39853 43476 50722 65214 76083 79706 101444 119559 130428 152166 159412 228249 239118 278971 304332 358677 456498 478236 557942 717354 836913 912996 1115884 1434708 1673826 2510739 3347652 5021478 10042956