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132104544 = 25311139623
BaseRepresentation
bin1111101111111…
…00000101100000
3100012120121100220
413313330011200
5232304321134
621035243040
73162604305
oct767740540
9305517326
10132104544
116862a110
12382a9480
13214a4690
141378b0ac
15b8e7149
hex7dfc160

132104544 has 96 divisors (see below), whose sum is σ = 407441664. Its totient is φ = 36948480.

The previous prime is 132104537. The next prime is 132104551. The reversal of 132104544 is 445401231.

It is an interprime number because it is at equal distance from previous prime (132104537) and next prime (132104551).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1321045442 = 34903221090895872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8917 + ... + 18539.

It is an arithmetic number, because the mean of its divisors is an integer number (4244184).

Almost surely, 2132104544 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 132104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203720832).

132104544 is an abundant number, since it is smaller than the sum of its proper divisors (275337120).

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

132104544 is a wasteful number, since it uses less digits than its factorization.

132104544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660 (or 9652 counting only the distinct ones).

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

The square root of 132104544 is about 11493.6740862093. The cubic root of 132104544 is about 509.2987208798.

Adding to 132104544 its reverse (445401231), we get a palindrome (577505775).

The spelling of 132104544 in words is "one hundred thirty-two million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 9623 13728 19246 28869 38492 57738 76984 105853 115476 125099 153968 211706 230952 250198 307936 317559 375297 423412 461904 500396 635118 750594 846824 923808 1000792 1270236 1376089 1501188 1693648 2001584 2540472 2752178 3002376 3387296 4003168 4128267 5080944 5504356 6004752 8256534 10161888 11008712 12009504 16513068 22017424 33026136 44034848 66052272 132104544