Base | Representation |
---|---|
bin | 1111110001101… |
… | …01111011100000 |
3 | 100020000122101000 |
4 | 13320311323200 |
5 | 232334411342 |
6 | 21044312000 |
7 | 3164612124 |
oct | 770657340 |
9 | 306018330 |
10 | 132341472 |
11 | 6878111a |
12 | 383a2600 |
13 | 21558483 |
14 | 1380d584 |
15 | b94244c |
hex | 7e35ee0 |
132341472 has 96 divisors (see below), whose sum is σ = 394329600. Its totient is φ = 43161984.
The previous prime is 132341467. The next prime is 132341491. The reversal of 132341472 is 274143231.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1323414722 = 35028530422253568, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38979 + ... + 42237.
It is an arithmetic number, because the mean of its divisors is an integer number (4107600).
Almost surely, 2132341472 is an apocalyptic number.
132341472 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 132341472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197164800).
132341472 is an abundant number, since it is smaller than the sum of its proper divisors (261988128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132341472 is a wasteful number, since it uses less digits than its factorization.
132341472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3325 (or 3311 counting only the distinct ones).
The product of its digits is 4032, while the sum is 27.
The square root of 132341472 is about 11503.9763560258. The cubic root of 132341472 is about 509.6030128623.
It can be divided in two parts, 13234 and 1472, that added together give a triangular number (14706 = T171).
The spelling of 132341472 in words is "one hundred thirty-two million, three hundred forty-one thousand, four hundred seventy-two".
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