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10145412 = 2234173181
BaseRepresentation
bin100110101100…
…111010000100
3201002102220000
4212230322010
510044123122
61001241300
7152143314
oct46547204
921072800
1010145412
1157aa442
123493230
132142b04
1414c1444
15d560ac
hex9ace84

10145412 has 60 divisors (see below), whose sum is σ = 26822796. Its totient is φ = 3343680.

The previous prime is 10145407. The next prime is 10145423. The reversal of 10145412 is 21454101.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 6081156 = 2016^2 + 2466^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55962 + ... + 56142.

Almost surely, 210145412 is an apocalyptic number.

10145412 is a gapful number since it is divisible by the number (12) 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 10145412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411398).

10145412 is an abundant number, since it is smaller than the sum of its proper divisors (16677384).

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

10145412 is a wasteful number, since it uses less digits than its factorization.

10145412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10145412 is about 3185.1863367784. The cubic root of 10145412 is about 216.4827167175.

Adding to 10145412 its reverse (21454101), we get a palindrome (31599513).

The spelling of 10145412 in words is "ten million, one hundred forty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 173 181 324 346 362 519 543 692 724 1038 1086 1557 1629 2076 2172 3114 3258 4671 4887 6228 6516 9342 9774 14013 14661 18684 19548 28026 29322 31313 56052 58644 62626 93939 125252 187878 281817 375756 563634 845451 1127268 1690902 2536353 3381804 5072706 10145412