Base | Representation |
---|---|
bin | 1111101111010… |
… | …11110001000000 |
3 | 100012110012200001 |
4 | 13313223301000 |
5 | 232300201241 |
6 | 21034005344 |
7 | 3162205360 |
oct | 767536100 |
9 | 305405601 |
10 | 132037696 |
11 | 6859396a |
12 | 38276854 |
13 | 2148011b |
14 | 137709a0 |
15 | b8d2431 |
hex | 7debc40 |
132037696 has 56 divisors (see below), whose sum is σ = 309798720. Its totient is φ = 54630912.
The previous prime is 132037663. The next prime is 132037729. The reversal of 132037696 is 696730231.
It is an interprime number because it is at equal distance from previous prime (132037663) and next prime (132037729).
It is a tau number, because it is divible by the number of its divisors (56).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7911 + ... + 18073.
It is an arithmetic number, because the mean of its divisors is an integer number (5532120).
Almost surely, 2132037696 is an apocalyptic number.
132037696 is a gapful number since it is divisible by the number (16) 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 132037696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154899360).
132037696 is an abundant number, since it is smaller than the sum of its proper divisors (177761024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132037696 is a wasteful number, since it uses less digits than its factorization.
132037696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10211 (or 10201 counting only the distinct ones).
The product of its (nonzero) digits is 40824, while the sum is 37.
The square root of 132037696 is about 11490.7656838002. The cubic root of 132037696 is about 509.2128006833.
The spelling of 132037696 in words is "one hundred thirty-two million, thirty-seven thousand, six hundred ninety-six".
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