Base | Representation |
---|---|
bin | 10000011000000… |
… | …10100000011000 |
3 | 100120111022022120 |
4 | 20030002200120 |
5 | 240131424340 |
6 | 21344221240 |
7 | 3255441321 |
oct | 1014024030 |
9 | 316438276 |
10 | 137373720 |
11 | 705a8a00 |
12 | 3a00a820 |
13 | 225cab33 |
14 | 1435d448 |
15 | c0d84d0 |
hex | 8302818 |
137373720 has 96 divisors (see below), whose sum is σ = 453040560. Its totient is φ = 33299200.
The previous prime is 137373707. The next prime is 137373737. The reversal of 137373720 is 27373731.
137373720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9790 + ... + 19250.
Almost surely, 2137373720 is an apocalyptic number.
137373720 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 137373720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226520280).
137373720 is an abundant number, since it is smaller than the sum of its proper divisors (315666840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
137373720 is a wasteful number, since it uses less digits than its factorization.
137373720 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9497 (or 9482 counting only the distinct ones).
The product of its (nonzero) digits is 18522, while the sum is 33.
The square root of 137373720 is about 11720.6535653947. The cubic root of 137373720 is about 515.9820016557.
The spelling of 137373720 in words is "one hundred thirty-seven million, three hundred seventy-three thousand, seven hundred twenty".
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