| Base | Representation |
|---|---|
| bin | 10010001100100… |
| … | …01101000000000 |
| 3 | 101122012220201100 |
| 4 | 21012101220000 |
| 5 | 303033440000 |
| 6 | 23051334400 |
| 7 | 3532263402 |
| oct | 1106215000 |
| 9 | 348186640 |
| 10 | 152640000 |
| 11 | 79185767 |
| 12 | 43151400 |
| 13 | 25814736 |
| 14 | 163b4b72 |
| 15 | d601a00 |
| hex | 9191a00 |
152640000 has 300 divisors, whose sum is σ = 560872026. Its totient is φ = 39936000.
The previous prime is 152639959. The next prime is 152640013. The reversal of 152640000 is 46251.
It is a happy number.
152640000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 5 ways, for example, as 7485696 + 145154304 = 2736^2 + 12048^2 .
It is a tau number, because it is divible by the number of its divisors (300).
It is a hoax number, since the sum of its digits (18) 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 (18).
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879974 + ... + 2880026.
Almost surely, 2152640000 is an apocalyptic number.
152640000 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 152640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280436013).
152640000 is an abundant number, since it is smaller than the sum of its proper divisors (408232026).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152640000 is an frugal number, since it uses more digits than its factorization.
152640000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 97 (or 63 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 152640000 is about 12354.7561691844. The cubic root of 152640000 is about 534.4283059576.
Adding to 152640000 its reverse (46251), we get a palindrome (152686251).
The spelling of 152640000 in words is "one hundred fifty-two million, six hundred forty thousand".
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