Base | Representation |
---|---|
bin | 10000000110110… |
… | …00100111010000 |
3 | 100102020001012000 |
4 | 20003120213100 |
5 | 234041324401 |
6 | 21223434000 |
7 | 3230242026 |
oct | 1003304720 |
9 | 312201160 |
10 | 135104976 |
11 | 6a299406 |
12 | 392b5900 |
13 | 21cb5296 |
14 | 13d2c716 |
15 | bcdb186 |
hex | 80d89d0 |
135104976 has 40 divisors (see below), whose sum is σ = 387802560. Its totient is φ = 45034848.
The previous prime is 135104971. The next prime is 135104989. The reversal of 135104976 is 679401531.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 135104976.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (135104971) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 155940 + ... + 156803.
It is an arithmetic number, because the mean of its divisors is an integer number (9695064).
Almost surely, 2135104976 is an apocalyptic number.
135104976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
135104976 is an abundant number, since it is smaller than the sum of its proper divisors (252697584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
135104976 is a wasteful number, since it uses less digits than its factorization.
135104976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 312760 (or 312748 counting only the distinct ones).
The product of its (nonzero) digits is 22680, while the sum is 36.
The square root of 135104976 is about 11623.4666085467. The cubic root of 135104976 is about 513.1257172823.
It can be divided in two parts, 135 and 104976, that added together give a triangular number (105111 = T458).
The spelling of 135104976 in words is "one hundred thirty-five million, one hundred four thousand, nine hundred seventy-six".
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