| Base | Representation |
|---|---|
| bin | 10010001110011… |
| … | …01101111100000 |
| 3 | 101122200102111100 |
| 4 | 21013031233200 |
| 5 | 303114324430 |
| 6 | 23100514400 |
| 7 | 3534340323 |
| oct | 1107155740 |
| 9 | 348612440 |
| 10 | 152886240 |
| 11 | 79333771 |
| 12 | 4324ba00 |
| 13 | 2589c840 |
| 14 | 1643a7ba |
| 15 | d64e960 |
| hex | 91cdbe0 |
152886240 has 144 divisors (see below), whose sum is σ = 561925728. Its totient is φ = 37628928.
The previous prime is 152886197. The next prime is 152886269. The reversal of 152886240 is 42688251.
152886240 is a `hidden beast` number, since 1 + 5 + 28 + 8 + 624 + 0 = 666.
152886240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (36) 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 (36).
It is a junction number, because it is equal to n+sod(n) for n = 152886195 and 152886204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14637 + ... + 22803.
It is an arithmetic number, because the mean of its divisors is an integer number (3902262).
Almost surely, 2152886240 is an apocalyptic number.
152886240 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 152886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280962864).
152886240 is an abundant number, since it is smaller than the sum of its proper divisors (409039488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152886240 is a wasteful number, since it uses less digits than its factorization.
152886240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8201 (or 8190 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The square root of 152886240 is about 12364.7175463089. The cubic root of 152886240 is about 534.7155328196.
It can be divided in two parts, 15288 and 6240, that added together give a triangular number (21528 = T207).
The spelling of 152886240 in words is "one hundred fifty-two million, eight hundred eighty-six thousand, two hundred forty".
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