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10230120 = 23325157181
BaseRepresentation
bin100111000001…
…100101101000
3201020202002100
4213001211220
510104330440
61003133400
7152645265
oct47014550
921222070
1010230120
11585804a
123514260
132172534
14150426c
15d71230
hex9c1968

10230120 has 96 divisors (see below), whose sum is σ = 33644520. Its totient is φ = 2695680.

The previous prime is 10230119. The next prime is 10230133. The reversal of 10230120 is 2103201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3849444 + 6380676 = 1962^2 + 2526^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56430 + ... + 56610.

Almost surely, 210230120 is an apocalyptic number.

10230120 is a gapful number since it is divisible by the number (10) 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 10230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822260).

10230120 is an abundant number, since it is smaller than the sum of its proper divisors (23414400).

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

10230120 is a wasteful number, since it uses less digits than its factorization.

10230120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10230120 is about 3198.4558774509. The cubic root of 10230120 is about 217.0835471508.

Adding to 10230120 its reverse (2103201), we get a palindrome (12333321).

The spelling of 10230120 in words is "ten million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 181 314 360 362 471 543 628 724 785 905 942 1086 1256 1413 1448 1570 1629 1810 1884 2172 2355 2715 2826 3140 3258 3620 3768 4344 4710 5430 5652 6280 6516 7065 7240 8145 9420 10860 11304 13032 14130 16290 18840 21720 28260 28417 32580 56520 56834 65160 85251 113668 142085 170502 227336 255753 284170 341004 426255 511506 568340 682008 852510 1023012 1136680 1278765 1705020 2046024 2557530 3410040 5115060 10230120