| Base | Representation |
|---|---|
| bin | 10010110101010… |
| … | …10000110010000 |
| 3 | 102000021101002200 |
| 4 | 21122222012100 |
| 5 | 310420424440 |
| 6 | 23402043200 |
| 7 | 3625556121 |
| oct | 1132520620 |
| 9 | 360241080 |
| 10 | 157983120 |
| 11 | 811a5069 |
| 12 | 44aa9500 |
| 13 | 26965749 |
| 14 | 16da6048 |
| 15 | dd09c30 |
| hex | 96aa190 |
157983120 has 120 divisors (see below), whose sum is σ = 539697600. Its totient is φ = 41403648.
The previous prime is 157983109. The next prime is 157983131. The reversal of 157983120 is 21389751.
157983120 is a `hidden beast` number, since 1 + 579 + 83 + 1 + 2 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (157983109) and next prime (157983131).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 40621 + ... + 44339.
It is an arithmetic number, because the mean of its divisors is an integer number (4497480).
Almost surely, 2157983120 is an apocalyptic number.
157983120 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 157983120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269848800).
157983120 is an abundant number, since it is smaller than the sum of its proper divisors (381714480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157983120 is a wasteful number, since it uses less digits than its factorization.
157983120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3797 (or 3788 counting only the distinct ones).
The product of its (nonzero) digits is 15120, while the sum is 36.
The square root of 157983120 is about 12569.1336216941. The cubic root of 157983120 is about 540.5927647146.
The spelling of 157983120 in words is "one hundred fifty-seven million, nine hundred eighty-three thousand, one hundred twenty".
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