Base | Representation |
---|---|
bin | 1111101111011… |
… | …11111011000000 |
3 | 100012111002000120 |
4 | 13313233323000 |
5 | 232301222340 |
6 | 21034220240 |
7 | 3162306120 |
oct | 767577300 |
9 | 305432016 |
10 | 132054720 |
11 | 685a5736 |
12 | 38284680 |
13 | 21487ab5 |
14 | 13776c80 |
15 | b8d74d0 |
hex | 7defec0 |
132054720 has 224 divisors, whose sum is σ = 491386368. Its totient is φ = 29417472.
The previous prime is 132054709. The next prime is 132054721. The reversal of 132054720 is 27450231.
It is a tau number, because it is divible by the number of its divisors (224).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132054721) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288732 + ... + 289188.
Almost surely, 2132054720 is an apocalyptic number.
132054720 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 132054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245693184).
132054720 is an abundant number, since it is smaller than the sum of its proper divisors (359331648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132054720 is a wasteful number, since it uses less digits than its factorization.
132054720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 527 (or 517 counting only the distinct ones).
The product of its (nonzero) digits is 1680, while the sum is 24.
The square root of 132054720 is about 11491.5064286629. The cubic root of 132054720 is about 509.2346844999.
The spelling of 132054720 in words is "one hundred thirty-two million, fifty-four thousand, seven hundred twenty".
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