| Base | Representation |
|---|---|
| bin | 10010000000101… |
| … | …01111111110000 |
| 3 | 101112021220201020 |
| 4 | 21000111333300 |
| 5 | 302134210130 |
| 6 | 22554135440 |
| 7 | 3513126111 |
| oct | 1100257760 |
| 9 | 345256636 |
| 10 | 151085040 |
| 11 | 78313477 |
| 12 | 42721580 |
| 13 | 253bba42 |
| 14 | 160cc208 |
| 15 | d3e5e10 |
| hex | 9015ff0 |
151085040 has 80 divisors (see below), whose sum is σ = 470580000. Its totient is φ = 40098816.
The previous prime is 151085029. The next prime is 151085057. The reversal of 151085040 is 40580151.
151085040 is digitally balanced in base 3, 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 (80).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 151085040.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53586 + ... + 56334.
It is an arithmetic number, because the mean of its divisors is an integer number (5882250).
Almost surely, 2151085040 is an apocalyptic number.
151085040 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 151085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235290000).
151085040 is an abundant number, since it is smaller than the sum of its proper divisors (319494960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
151085040 is a wasteful number, since it uses less digits than its factorization.
151085040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2994 (or 2988 counting only the distinct ones).
The product of its (nonzero) digits is 800, while the sum is 24.
The square root of 151085040 is about 12291.6654689265. The cubic root of 151085040 is about 532.6073490292.
The spelling of 151085040 in words is "one hundred fifty-one million, eighty-five thousand, forty".
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