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10145056 = 251721097
BaseRepresentation
bin100110101100…
…110100100000
3201002102101211
4212230310200
510044120211
61001235504
7152142265
oct46546440
921072354
1010145056
1157aa149
123492b94
1321428bc
1414c126c
15d55e21
hex9acd20

10145056 has 36 divisors (see below), whose sum is σ = 21236418. Its totient is φ = 4769792.

The previous prime is 10145017. The next prime is 10145059. The reversal of 10145056 is 65054101.

It can be written as a sum of positive squares in 3 ways, for example, as 9709456 + 435600 = 3116^2 + 660^2 .

It is a super-2 number, since 2×101450562 = 205844322486272, which contains 22 as substring.

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 (10145059) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8700 + ... + 9796.

Almost surely, 210145056 is an apocalyptic number.

10145056 is a gapful number since it is divisible by the number (16) 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 10145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618209).

10145056 is an abundant number, since it is smaller than the sum of its proper divisors (11091362).

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

10145056 is a wasteful number, since it uses less digits than its factorization.

10145056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 10145056 is about 3185.1304525875. The cubic root of 10145056 is about 216.4801845796.

Adding to 10145056 its reverse (65054101), we get a palindrome (75199157).

The spelling of 10145056 in words is "ten million, one hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1097 1156 2194 2312 4388 4624 8776 9248 17552 18649 35104 37298 74596 149192 298384 317033 596768 634066 1268132 2536264 5072528 10145056