Search a number
-
+
132518748 = 223291971933
BaseRepresentation
bin1111110011000…
…01001101011100
3100020100122112210
413321201031130
5232411044443
621052200420
73166251015
oct771411534
9306318483
10132518748
116889232a
1238469110
13215bb07b
141385800c
15b979c33
hex7e6135c

132518748 has 48 divisors (see below), whose sum is σ = 321662880. Its totient is φ = 42411264.

The previous prime is 132518717. The next prime is 132518753. The reversal of 132518748 is 847815231.

It is a super-2 number, since 2×1325187482 = 35122437142975008, which contains 22 as substring.

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, 67590 + ... + 69522.

It is an arithmetic number, because the mean of its divisors is an integer number (6701310).

Almost surely, 2132518748 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 132518748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160831440).

132518748 is an abundant number, since it is smaller than the sum of its proper divisors (189144132).

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

132518748 is a wasteful number, since it uses less digits than its factorization.

132518748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2164 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 132518748 is about 11511.6787654972. The cubic root of 132518748 is about 509.8304549843.

The spelling of 132518748 in words is "one hundred thirty-two million, five hundred eighteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 197 348 394 591 788 1182 1933 2364 3866 5713 5799 7732 11426 11598 17139 22852 23196 34278 56057 68556 112114 168171 224228 336342 380801 672684 761602 1142403 1523204 2284806 4569612 11043229 22086458 33129687 44172916 66259374 132518748