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10539144 = 23327111901
BaseRepresentation
bin101000001101…
…000010001000
3201211102222200
4220031002020
510144223034
61013520200
7155403240
oct50150210
921742880
1010539144
115a49240
123643060
1322500a5
141584b20
15dd2a99
hexa0d088

10539144 has 96 divisors (see below), whose sum is σ = 35605440. Its totient is φ = 2736000.

The previous prime is 10539143. The next prime is 10539149. The reversal of 10539144 is 44193501.

It is a super-2 number, since 2×105391442 = 222147112505472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10539143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4594 + ... + 6494.

It is an arithmetic number, because the mean of its divisors is an integer number (370890).

Almost surely, 210539144 is an apocalyptic number.

10539144 is a gapful number since it is divisible by the number (14) 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 10539144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17802720).

10539144 is an abundant number, since it is smaller than the sum of its proper divisors (25066296).

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

10539144 is a wasteful number, since it uses less digits than its factorization.

10539144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931 (or 1924 counting only the distinct ones).

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

The square root of 10539144 is about 3246.4047806766. The cubic root of 10539144 is about 219.2477336684.

The spelling of 10539144 in words is "ten million, five hundred thirty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 1901 2772 3802 5544 5703 7604 11406 13307 15208 17109 20911 22812 26614 34218 39921 41822 45624 53228 62733 68436 79842 83644 106456 119763 125466 136872 146377 159684 167288 188199 239526 250932 292754 319368 376398 439131 479052 501864 585508 752796 878262 958104 1171016 1317393 1505592 1756524 2634786 3513048 5269572 10539144