| Base | Representation |
|---|---|
| bin | 1110110111110000… |
| … | …1000110111000000 |
| 3 | 101022012120211200000 |
| 4 | 3231330020313000 |
| 5 | 31133420340440 |
| 6 | 1500041400000 |
| 7 | 200632100163 |
| oct | 35574106700 |
| 9 | 11265524600 |
| 10 | 3991965120 |
| 11 | 17693a6530 |
| 12 | 934a99000 |
| 13 | 4b806a450 |
| 14 | 29c261ada |
| 15 | 1856d9730 |
| hex | edf08dc0 |
3991965120 has 672 divisors, whose sum is σ = 16775216640. Its totient is φ = 890818560.
The previous prime is 3991965119. The next prime is 3991965199. The reversal of 3991965120 is 215691993.
It is a happy number.
3991965120 is a `hidden beast` number, since 399 + 196 + 51 + 20 = 666.
3991965120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×39919651202 = 31871571038593228800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11119501 + ... + 11119859.
It is an arithmetic number, because the mean of its divisors is an integer number (24963120).
Almost surely, 23991965120 is an apocalyptic number.
3991965120 is a gapful number since it is divisible by the number (30) 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 3991965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8387608320).
3991965120 is an abundant number, since it is smaller than the sum of its proper divisors (12783251520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3991965120 is a wasteful number, since it uses less digits than its factorization.
3991965120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 415 (or 393 counting only the distinct ones).
The product of its (nonzero) digits is 131220, while the sum is 45.
The square root of 3991965120 is about 63181.9999683454. Note that the first 4 decimals coincide. The cubic root of 3991965120 is about 1586.3374580822.
The spelling of 3991965120 in words is "three billion, nine hundred ninety-one million, nine hundred sixty-five thousand, one hundred twenty".
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