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132192280 = 23511793803
BaseRepresentation
bin1111110000100…
…01100000011000
3100012202001201101
413320101200120
5232320123110
621041201144
73163421143
oct770214030
9305661641
10132192280
116868a020
12383301b4
13215055ac
14137b105a
15b91313a
hex7e11818

132192280 has 64 divisors (see below), whose sum is σ = 328665600. Its totient is φ = 47448960.

The previous prime is 132192251. The next prime is 132192337. The reversal of 132192280 is 82291231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32859 + ... + 36661.

It is an arithmetic number, because the mean of its divisors is an integer number (5135400).

Almost surely, 2132192280 is an apocalyptic number.

132192280 is a gapful number since it is divisible by the number (10) 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 132192280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164332800).

132192280 is an abundant number, since it is smaller than the sum of its proper divisors (196473320).

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

132192280 is a wasteful number, since it uses less digits than its factorization.

132192280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 132192280 is about 11497.4901609003. The cubic root of 132192280 is about 509.4114445928.

The spelling of 132192280 in words is "one hundred thirty-two million, one hundred ninety-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 790 869 1580 1738 3160 3476 3803 4345 6952 7606 8690 15212 17380 19015 30424 34760 38030 41833 76060 83666 152120 167332 209165 300437 334664 418330 600874 836660 1201748 1502185 1673320 2403496 3004370 3304807 6008740 6609614 12017480 13219228 16524035 26438456 33048070 66096140 132192280