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10145256 = 2331183463
BaseRepresentation
bin100110101100…
…110111101000
3201002102200020
4212230313220
510044122011
61001240440
7152143002
oct46546750
921072606
1010145256
1157aa310
123493120
132142a14
1414c1372
15d56006
hex9acde8

10145256 has 64 divisors (see below), whose sum is σ = 28062720. Its totient is φ = 3030720.

The previous prime is 10145251. The next prime is 10145281. The reversal of 10145256 is 65254101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10145251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21681 + ... + 22143.

It is an arithmetic number, because the mean of its divisors is an integer number (438480).

Almost surely, 210145256 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 10145256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031360).

10145256 is an abundant number, since it is smaller than the sum of its proper divisors (17917464).

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

10145256 is a wasteful number, since it uses less digits than its factorization.

10145256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 10145256 is about 3185.1618483211. The cubic root of 10145256 is about 216.4816071363.

Adding to 10145256 its reverse (65254101), we get a palindrome (75399357).

It can be divided in two parts, 10145 and 256, that added together give a palindrome (10401).

The spelling of 10145256 in words is "ten million, one hundred forty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 463 498 664 913 926 996 1389 1826 1852 1992 2739 2778 3652 3704 5093 5478 5556 7304 10186 10956 11112 15279 20372 21912 30558 38429 40744 61116 76858 115287 122232 153716 230574 307432 422719 461148 845438 922296 1268157 1690876 2536314 3381752 5072628 10145256