Base | Representation |
---|---|
bin | 1111110010100… |
… | …11010010100010 |
3 | 100020020202100000 |
4 | 13321103102202 |
5 | 232402233410 |
6 | 21051040430 |
7 | 3165622542 |
oct | 771232242 |
9 | 306222300 |
10 | 132461730 |
11 | 68853505 |
12 | 38440116 |
13 | 2159b12b |
14 | 13841322 |
15 | b967dc0 |
hex | 7e534a2 |
132461730 has 144 divisors (see below), whose sum is σ = 379439424. Its totient is φ = 33242400.
The previous prime is 132461717. The next prime is 132461737. The reversal of 132461730 is 37164231.
132461730 is a `hidden beast` number, since 13 + 2 + 4 + 617 + 30 = 666.
It is a super-3 number, since 3×1324617303 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
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 = 132461694 and 132461703.
It is not an unprimeable number, because it can be changed into a prime (132461737) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 877155 + ... + 877305.
It is an arithmetic number, because the mean of its divisors is an integer number (2634996).
Almost surely, 2132461730 is an apocalyptic number.
132461730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 132461730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189719712).
132461730 is an abundant number, since it is smaller than the sum of its proper divisors (246977694).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132461730 is a wasteful number, since it uses less digits than its factorization.
132461730 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 211 (or 180 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 27.
The square root of 132461730 is about 11509.2019705973. The cubic root of 132461730 is about 509.7573239909.
The spelling of 132461730 in words is "one hundred thirty-two million, four hundred sixty-one thousand, seven hundred thirty".
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