Base | Representation |
---|---|
bin | 101110101111… |
… | …101011111110 |
3 | 212001120021000 |
4 | 232233223332 |
5 | 11114111300 |
6 | 1114351130 |
7 | 206104542 |
oct | 56575376 |
9 | 25046230 |
10 | 12253950 |
11 | 6a0a635 |
12 | 412b4a6 |
13 | 2700777 |
14 | 18ada22 |
15 | 1120c00 |
hex | bafafe |
12253950 has 96 divisors (see below), whose sum is σ = 35042400. Its totient is φ = 3144960.
The previous prime is 12253949. The next prime is 12254023. The reversal of 12253950 is 5935221.
12253950 is a `hidden beast` number, since 122 + 539 + 5 + 0 = 666.
It is a super-3 number, since 3×122539503 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38994 + ... + 39306.
It is an arithmetic number, because the mean of its divisors is an integer number (365025).
Almost surely, 212253950 is an apocalyptic number.
12253950 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 12253950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17521200).
12253950 is an abundant number, since it is smaller than the sum of its proper divisors (22788450).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12253950 is a wasteful number, since it uses less digits than its factorization.
12253950 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 363 (or 352 counting only the distinct ones).
The product of its (nonzero) digits is 2700, while the sum is 27.
The square root of 12253950 is about 3500.5642402333. The cubic root of 12253950 is about 230.5465891149.
It can be divided in two parts, 12253 and 950, that added together give a triangular number (13203 = T162).
The spelling of 12253950 in words is "twelve million, two hundred fifty-three thousand, nine hundred fifty".
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