Base | Representation |
---|---|
bin | 1111110001000… |
… | …01111001110000 |
3 | 100012212110211210 |
4 | 13320201321300 |
5 | 232324300230 |
6 | 21042440120 |
7 | 3164121015 |
oct | 770417160 |
9 | 305773753 |
10 | 132259440 |
11 | 68725525 |
12 | 38363040 |
13 | 2152a031 |
14 | 137cb70c |
15 | b927eb0 |
hex | 7e21e70 |
132259440 has 80 divisors (see below), whose sum is σ = 420035616. Its totient is φ = 34406400.
The previous prime is 132259427. The next prime is 132259441. The reversal of 132259440 is 44952231.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1322594402 = 34985118938227200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 132259398 and 132259407.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132259441) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3120 + ... + 16560.
Almost surely, 2132259440 is an apocalyptic number.
132259440 is a gapful number since it is divisible by the number (10) 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 132259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210017808).
132259440 is an abundant number, since it is smaller than the sum of its proper divisors (287776176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132259440 is a wasteful number, since it uses less digits than its factorization.
132259440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13498 (or 13492 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 30.
The square root of 132259440 is about 11500.4104274587. The cubic root of 132259440 is about 509.4976984458.
The spelling of 132259440 in words is "one hundred thirty-two million, two hundred fifty-nine thousand, four hundred forty".
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