Base | Representation |
---|---|
bin | 1111100101100… |
… | …10110111000000 |
3 | 100010001002120000 |
4 | 13302302313000 |
5 | 231433143112 |
6 | 20550320000 |
7 | 3145256631 |
oct | 762626700 |
9 | 303032500 |
10 | 130756032 |
11 | 67898a40 |
12 | 37959000 |
13 | 21121944 |
14 | 13519888 |
15 | b72c7dc |
hex | 7cb2dc0 |
130756032 has 140 divisors (see below), whose sum is σ = 423022776. Its totient is φ = 39605760.
The previous prime is 130756013. The next prime is 130756051. The reversal of 130756032 is 230657031.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (130756013) and next prime (130756051).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 130755987 and 130756005.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55878 + ... + 58170.
Almost surely, 2130756032 is an apocalyptic number.
130756032 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 130756032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211511388).
130756032 is an abundant number, since it is smaller than the sum of its proper divisors (292266744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130756032 is a wasteful number, since it uses less digits than its factorization.
130756032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2328 (or 2309 counting only the distinct ones).
The product of its (nonzero) digits is 3780, while the sum is 27.
The square root of 130756032 is about 11434.8603839312. The cubic root of 130756032 is about 507.5598311690.
Subtracting 130756032 from its reverse (230657031), we obtain a palindrome (99900999).
The spelling of 130756032 in words is "one hundred thirty million, seven hundred fifty-six thousand, thirty-two".
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