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132104952 = 23337412131
BaseRepresentation
bin1111101111111…
…00001011111000
3100012120121221000
413313330023320
5232304324302
621035245000
73162605430
oct767741370
9305517830
10132104952
116862a451
12382a9760
13214a4915
141378b2c0
15b8e731c
hex7dfc2f8

132104952 has 128 divisors (see below), whose sum is σ = 429811200. Its totient is φ = 36806400.

The previous prime is 132104941. The next prime is 132104969. The reversal of 132104952 is 259401231.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 60927 + ... + 63057.

It is an arithmetic number, because the mean of its divisors is an integer number (3357900).

Almost surely, 2132104952 is an apocalyptic number.

132104952 is a gapful number since it is divisible by the number (12) 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 132104952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214905600).

132104952 is an abundant number, since it is smaller than the sum of its proper divisors (297706248).

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

132104952 is a wasteful number, since it uses less digits than its factorization.

132104952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 132104952 is about 11493.6918350894. The cubic root of 132104952 is about 509.2992451960.

The spelling of 132104952 in words is "one hundred thirty-two million, one hundred four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2131 2214 2296 2583 2952 3444 4262 4428 5166 6393 6888 7749 8524 8856 10332 12786 14917 15498 17048 19179 20664 25572 29834 30996 38358 44751 51144 57537 59668 61992 76716 87371 89502 115074 119336 134253 153432 174742 179004 230148 262113 268506 349484 358008 402759 460296 524226 537012 611597 698968 786339 805518 1048452 1074024 1223194 1572678 1611036 1834791 2096904 2359017 2446388 3145356 3222072 3669582 4718034 4892776 5504373 6290712 7339164 9436068 11008746 14678328 16513119 18872136 22017492 33026238 44034984 66052476 132104952