Base | Representation |
---|---|
bin | 101111001100… |
… | …111110100000 |
3 | 212021122211100 |
4 | 233030332200 |
5 | 11131431140 |
6 | 1121114400 |
7 | 210114366 |
oct | 57147640 |
9 | 25248740 |
10 | 12373920 |
11 | 6a91789 |
12 | 4188a00 |
13 | 2743260 |
14 | 1901636 |
15 | 1146530 |
hex | bccfa0 |
12373920 has 144 divisors (see below), whose sum is σ = 45542952. Its totient is φ = 3041280.
The previous prime is 12373913. The next prime is 12373927. The reversal of 12373920 is 2937321.
It is an interprime number because it is at equal distance from previous prime (12373913) and next prime (12373927).
It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 2862864 = 3084^2 + 1692^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×123739202 = 306227792332800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12373927) 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 23 ways as a sum of consecutive naturals, for example, 18390 + ... + 19050.
Almost surely, 212373920 is an apocalyptic number.
12373920 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 12373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771476).
12373920 is an abundant number, since it is smaller than the sum of its proper divisors (33169032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12373920 is a wasteful number, since it uses less digits than its factorization.
12373920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 695 (or 684 counting only the distinct ones).
The product of its (nonzero) digits is 2268, while the sum is 27.
The square root of 12373920 is about 3517.6583120025. The cubic root of 12373920 is about 231.2965214415.
The spelling of 12373920 in words is "twelve million, three hundred seventy-three thousand, nine hundred twenty".
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