Base | Representation |
---|---|
bin | 10000010101100… |
… | …00011110110000 |
3 | 100112212020110000 |
4 | 20022300132300 |
5 | 240040201434 |
6 | 21333110000 |
7 | 3252541644 |
oct | 1012603660 |
9 | 315766400 |
10 | 137037744 |
11 | 70399538 |
12 | 39a88300 |
13 | 22510c2c |
14 | 142b2c24 |
15 | c06db99 |
hex | 82b07b0 |
137037744 has 100 divisors (see below), whose sum is σ = 406458360. Its totient is φ = 44547840.
The previous prime is 137037727. The next prime is 137037767. The reversal of 137037744 is 447730731.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 137037699 and 137037708.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51847 + ... + 54425.
Almost surely, 2137037744 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 137037744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203229180).
137037744 is an abundant number, since it is smaller than the sum of its proper divisors (269420616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137037744 is a wasteful number, since it uses less digits than its factorization.
137037744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2640 (or 2625 counting only the distinct ones).
The product of its (nonzero) digits is 49392, while the sum is 36.
The square root of 137037744 is about 11706.3121434549. The cubic root of 137037744 is about 515.5610111668.
The spelling of 137037744 in words is "one hundred thirty-seven million, thirty-seven thousand, seven hundred forty-four".
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