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133232120 = 23571074447
BaseRepresentation
bin1111111000011…
…11010111111000
3100021200220002222
413330033113320
5233101411440
621115343212
73205311560
oct774172770
9307626088
10133232120
116922a29a
1238751b08
13217aa998
14139a1da0
15ba6b2b5
hex7f0f5f8

133232120 has 64 divisors (see below), whose sum is σ = 345876480. Its totient is φ = 45242496.

The previous prime is 133232107. The next prime is 133232137. The reversal of 133232120 is 21232331.

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, 27737 + ... + 32183.

It is an arithmetic number, because the mean of its divisors is an integer number (5404320).

Almost surely, 2133232120 is an apocalyptic number.

133232120 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 133232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172938240).

133232120 is an abundant number, since it is smaller than the sum of its proper divisors (212644360).

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

133232120 is a wasteful number, since it uses less digits than its factorization.

133232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4572 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 133232120 is about 11542.6218858628. The cubic root of 133232120 is about 510.7436543195.

Adding to 133232120 its reverse (21232331), we get a palindrome (154464451).

The spelling of 133232120 in words is "one hundred thirty-three million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 280 428 535 749 856 1070 1498 2140 2996 3745 4280 4447 5992 7490 8894 14980 17788 22235 29960 31129 35576 44470 62258 88940 124516 155645 177880 249032 311290 475829 622580 951658 1245160 1903316 2379145 3330803 3806632 4758290 6661606 9516580 13323212 16654015 19033160 26646424 33308030 66616060 133232120