| Base | Representation |
|---|---|
| bin | 100111011101001… |
| … | …010110100100000 |
| 3 | 1201010120221120000 |
| 4 | 213131022310200 |
| 5 | 2323430123140 |
| 6 | 145404020000 |
| 7 | 22255356321 |
| oct | 4735126440 |
| 9 | 1633527500 |
| 10 | 661957920 |
| 11 | 30a726868 |
| 12 | 165831600 |
| 13 | a71acaa0 |
| 14 | 63cb4448 |
| 15 | 3d1aaa30 |
| hex | 2774ad20 |
661957920 has 240 divisors, whose sum is σ = 2516504760. Its totient is φ = 162902016.
The previous prime is 661957913. The next prime is 661957927. The reversal of 661957920 is 29759166.
It is a happy number.
661957920 is a `hidden beast` number, since 6 + 619 + 5 + 7 + 9 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (661957913) and next prime (661957927).
It can be written as a sum of positive squares in 4 ways, for example, as 282643344 + 379314576 = 16812^2 + 19476^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (661957927) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166516 + ... + 170444.
Almost surely, 2661957920 is an apocalyptic number.
661957920 is a gapful number since it is divisible by the number (60) 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 661957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258252380).
661957920 is an abundant number, since it is smaller than the sum of its proper divisors (1854546840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
661957920 is a wasteful number, since it uses less digits than its factorization.
661957920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3969 (or 3952 counting only the distinct ones).
The product of its (nonzero) digits is 204120, while the sum is 45.
The square root of 661957920 is about 25728.5429047197. The cubic root of 661957920 is about 871.5188687736.
The spelling of 661957920 in words is "six hundred sixty-one million, nine hundred fifty-seven thousand, nine hundred twenty".
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