Base | Representation |
---|---|
bin | 10010110010111… |
… | …10101110010000 |
3 | 101222200200121000 |
4 | 21121132232100 |
5 | 310331040014 |
6 | 23351302000 |
7 | 3623132040 |
oct | 1131365620 |
9 | 358620530 |
10 | 157674384 |
11 | 8100410a |
12 | 4497a900 |
13 | 2688806a |
14 | 16d25720 |
15 | dc98509 |
hex | 965eb90 |
157674384 has 160 divisors (see below), whose sum is σ = 539965440. Its totient is φ = 43072128.
The previous prime is 157674367. The next prime is 157674389. The reversal of 157674384 is 483476751.
157674384 is a `hidden beast` number, since 1 + 576 + 74 + 3 + 8 + 4 = 666.
157674384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1576743842 = 49722422739558912, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (157674389) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68419 + ... + 70685.
It is an arithmetic number, because the mean of its divisors is an integer number (3374784).
Almost surely, 2157674384 is an apocalyptic number.
157674384 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 157674384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).
157674384 is an abundant number, since it is smaller than the sum of its proper divisors (382291056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157674384 is a wasteful number, since it uses less digits than its factorization.
157674384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2314 (or 2302 counting only the distinct ones).
The product of its digits is 564480, while the sum is 45.
The square root of 157674384 is about 12556.8461008328. The cubic root of 157674384 is about 540.2403868005.
It can be divided in two parts, 157 and 674384, that added together give a triangular number (674541 = T1161).
The spelling of 157674384 in words is "one hundred fifty-seven million, six hundred seventy-four thousand, three hundred eighty-four".
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