Base | Representation |
---|---|
bin | 100110011100… |
… | …011011011000 |
3 | 200222000022000 |
4 | 212130123120 |
5 | 10034443122 |
6 | 1000001000 |
7 | 151442445 |
oct | 46343330 |
9 | 20860260 |
10 | 10077912 |
11 | 5763759 |
12 | 3460160 |
13 | 211b180 |
14 | 14a49cc |
15 | d410ac |
hex | 99c6d8 |
10077912 has 128 divisors (see below), whose sum is σ = 31281600. Its totient is φ = 2985984.
The previous prime is 10077911. The next prime is 10077919. The reversal of 10077912 is 21977001.
10077912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10077911) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103848 + ... + 103944.
Almost surely, 210077912 is an apocalyptic number.
10077912 is a gapful number since it is divisible by the number (12) 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 10077912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15640800).
10077912 is an abundant number, since it is smaller than the sum of its proper divisors (21203688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10077912 is a wasteful number, since it uses less digits than its factorization.
10077912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 162 (or 152 counting only the distinct ones).
The product of its (nonzero) digits is 882, while the sum is 27.
The square root of 10077912 is about 3174.5727271556. The cubic root of 10077912 is about 216.0015431989.
The spelling of 10077912 in words is "ten million, seventy-seven thousand, nine hundred twelve".
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