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12338130 = 2357411433
BaseRepresentation
bin101111000100…
…001111010010
3212012211201210
4233010033102
511124310010
61120240550
7206605140
oct57041722
925184653
1012338130
116a67902
124170156
13272cb8c
1418d2590
15113ab20
hexbc43d2

12338130 has 64 divisors (see below), whose sum is σ = 34691328. Its totient is φ = 2749440.

The previous prime is 12338129. The next prime is 12338191. The reversal of 12338130 is 3183321.

It is a happy number.

12338130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12338097 and 12338106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7894 + ... + 9326.

It is an arithmetic number, because the mean of its divisors is an integer number (542052).

Almost surely, 212338130 is an apocalyptic number.

12338130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12338130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345664).

12338130 is an abundant number, since it is smaller than the sum of its proper divisors (22353198).

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

12338130 is a wasteful number, since it uses less digits than its factorization.

12338130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12338130 is about 3512.5674370751. The cubic root of 12338130 is about 231.0733074432.

The spelling of 12338130 in words is "twelve million, three hundred thirty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1433 1435 1722 2866 2870 4299 4305 7165 8598 8610 10031 14330 20062 21495 30093 42990 50155 58753 60186 100310 117506 150465 176259 293765 300930 352518 411271 587530 822542 881295 1233813 1762590 2056355 2467626 4112710 6169065 12338130