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132514044 = 223131495701
BaseRepresentation
bin1111110011000…
…00000011111100
3100020100102002120
413321200003330
5232410422134
621052122540
73166231215
oct771400374
9306312076
10132514044
1168889843
1238466450
13215b8ba0
141385640c
15b978649
hex7e600fc

132514044 has 48 divisors (see below), whose sum is σ = 335277600. Its totient is φ = 40492800.

The previous prime is 132514033. The next prime is 132514051. The reversal of 132514044 is 440415231.

It is a zygodrome in base 2.

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, 20394 + ... + 26094.

It is an arithmetic number, because the mean of its divisors is an integer number (6984950).

Almost surely, 2132514044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132514044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167638800).

132514044 is an abundant number, since it is smaller than the sum of its proper divisors (202763556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132514044 is a wasteful number, since it uses less digits than its factorization.

132514044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 132514044 is about 11511.4744494352. The cubic root of 132514044 is about 509.8244224521.

Adding to 132514044 its reverse (440415231), we get a palindrome (572929275).

The spelling of 132514044 in words is "one hundred thirty-two million, five hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 149 156 298 447 596 894 1788 1937 3874 5701 5811 7748 11402 11622 17103 22804 23244 34206 68412 74113 148226 222339 296452 444678 849449 889356 1698898 2548347 3397796 5096694 10193388 11042837 22085674 33128511 44171348 66257022 132514044