Base | Representation |
---|---|
bin | 101110011000… |
… | …000111000000 |
3 | 211212122210012 |
4 | 232120013000 |
5 | 11103014001 |
6 | 1112324052 |
7 | 205223150 |
oct | 56300700 |
9 | 24778705 |
10 | 12157376 |
11 | 6954020 |
12 | 40a3628 |
13 | 269881a |
14 | 1886760 |
15 | 11022bb |
hex | b981c0 |
12157376 has 56 divisors (see below), whose sum is σ = 30089856. Its totient is φ = 4734720.
The previous prime is 12157367. The next prime is 12157391. The reversal of 12157376 is 67375121.
12157376 = T523 + T524 + ... + T599.
It is a tau number, because it is divible by the number of its divisors (56).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3695 + ... + 6161.
Almost surely, 212157376 is an apocalyptic number.
12157376 is a gapful number since it is divisible by the number (16) 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 12157376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044928).
12157376 is an abundant number, since it is smaller than the sum of its proper divisors (17932480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12157376 is a wasteful number, since it uses less digits than its factorization.
12157376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2497 (or 2487 counting only the distinct ones).
The product of its digits is 8820, while the sum is 32.
The square root of 12157376 is about 3486.7428927295. The cubic root of 12157376 is about 229.9393412815.
It can be divided in two parts, 121 and 57376, that multiplied together give a palindrome (6942496).
The spelling of 12157376 in words is "twelve million, one hundred fifty-seven thousand, three hundred seventy-six".
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