| Base | Representation |
|---|---|
| bin | 10010001010100… |
| … | …00111100000000 |
| 3 | 101121201110021000 |
| 4 | 21011100330000 |
| 5 | 303002000130 |
| 6 | 23041532000 |
| 7 | 3530111046 |
| oct | 1105207400 |
| 9 | 347643230 |
| 10 | 152375040 |
| 11 | 79014694 |
| 12 | 43044000 |
| 13 | 25750c5c |
| 14 | 16346396 |
| 15 | d59d260 |
| hex | 9150f00 |
152375040 has 144 divisors (see below), whose sum is σ = 540842400. Its totient is φ = 40624128.
The previous prime is 152375039. The next prime is 152375059. The reversal of 152375040 is 40573251.
It is a happy number.
152375040 is a `hidden beast` number, since 152 + 3 + 7 + 504 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 152374995 and 152375013.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32356 + ... + 36764.
It is an arithmetic number, because the mean of its divisors is an integer number (3755850).
Almost surely, 2152375040 is an apocalyptic number.
152375040 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 152375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270421200).
152375040 is an abundant number, since it is smaller than the sum of its proper divisors (388467360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152375040 is an equidigital number, since it uses as much as digits as its factorization.
152375040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4439 (or 4419 counting only the distinct ones).
The product of its (nonzero) digits is 4200, while the sum is 27.
The square root of 152375040 is about 12344.0285158452. The cubic root of 152375040 is about 534.1188979030.
The spelling of 152375040 in words is "one hundred fifty-two million, three hundred seventy-five thousand, forty".
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