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132513524 = 2211131989137
BaseRepresentation
bin1111110010111…
…11111011110100
3100020100101101022
413321133323310
5232410413044
621052120312
73166226543
oct771377364
9306311338
10132513524
1168889410
1238466098
13215b8890
141385615a
15b9783ee
hex7e5fef4

132513524 has 96 divisors (see below), whose sum is σ = 292118400. Its totient is φ = 51701760.

The previous prime is 132513509. The next prime is 132513541. The reversal of 132513524 is 425315231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 132513493 and 132513502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967184 + ... + 967320.

It is an arithmetic number, because the mean of its divisors is an integer number (3042900).

Almost surely, 2132513524 is an apocalyptic number.

It is an amenable number.

132513524 is an abundant number, since it is smaller than the sum of its proper divisors (159604876).

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

132513524 is a wasteful number, since it uses less digits than its factorization.

132513524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 132513524 is about 11511.4518632534. The cubic root of 132513524 is about 509.8237555818.

Adding to 132513524 its reverse (425315231), we get a palindrome (557828755).

The spelling of 132513524 in words is "one hundred thirty-two million, five hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 76 89 137 143 178 209 247 274 286 356 418 494 548 572 836 979 988 1157 1507 1691 1781 1958 2314 2603 2717 3014 3382 3562 3916 4628 5206 5434 6028 6764 7124 10412 10868 12193 12727 18601 19591 21983 24386 25454 28633 33839 37202 39182 43966 48772 50908 57266 67678 74404 78364 87932 114532 134123 135356 158509 231667 241813 268246 317018 372229 463334 483626 536492 634036 744458 926668 967252 1488916 1743599 2548337 3011671 3487198 5096674 6023342 6974396 10193348 12046684 33128381 66256762 132513524