Base | Representation |
---|---|
bin | 1111000111101… |
… | …10000110011000 |
3 | 22211122222212000 |
4 | 13203312012120 |
5 | 224432242034 |
6 | 20330321000 |
7 | 3100045410 |
oct | 743660630 |
9 | 284588760 |
10 | 126837144 |
11 | 65661695 |
12 | 36589160 |
13 | 2037bc85 |
14 | 12bb9640 |
15 | b206599 |
hex | 78f6198 |
126837144 has 128 divisors (see below), whose sum is σ = 406080000. Its totient is φ = 35932032.
The previous prime is 126837127. The next prime is 126837163. The reversal of 126837144 is 441738621.
It is a super-2 number, since 2×1268371442 = 32175322196153472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 126837099 and 126837108.
It is a congruent number.
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, 225007 + ... + 225569.
It is an arithmetic number, because the mean of its divisors is an integer number (3172500).
Almost surely, 2126837144 is an apocalyptic number.
126837144 is a gapful number since it is divisible by the number (14) 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 126837144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203040000).
126837144 is an abundant number, since it is smaller than the sum of its proper divisors (279242856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
126837144 is a wasteful number, since it uses less digits than its factorization.
126837144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 734 (or 724 counting only the distinct ones).
The product of its digits is 32256, while the sum is 36.
The square root of 126837144 is about 11262.1997851219. The cubic root of 126837144 is about 502.4376220187.
The spelling of 126837144 in words is "one hundred twenty-six million, eight hundred thirty-seven thousand, one hundred forty-four".
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