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133432116 = 223175931103
BaseRepresentation
bin1111111010000…
…00001100110100
3100022002001110020
413331000030310
5233124311431
621123525140
73210103626
oct775001464
9308061406
10133432116
1169356584
12388297b0
132184aa1c
1413a14c16
15baaa696
hex7f40334

133432116 has 48 divisors (see below), whose sum is σ = 330511104. Its totient is φ = 41752576.

The previous prime is 133432069. The next prime is 133432121. The reversal of 133432116 is 611234331.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120421 + ... + 121523.

It is an arithmetic number, because the mean of its divisors is an integer number (6885648).

Almost surely, 2133432116 is an apocalyptic number.

It is an amenable number.

133432116 is an abundant number, since it is smaller than the sum of its proper divisors (197078988).

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

133432116 is a wasteful number, since it uses less digits than its factorization.

133432116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1718 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 133432116 is about 11551.2820067731. The cubic root of 133432116 is about 510.9990872670. Note that the first 3 decimals are identical.

Adding to 133432116 its reverse (611234331), we get a palindrome (744666447).

The spelling of 133432116 in words is "one hundred thirty-three million, four hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 593 1103 1186 1779 2206 2372 3309 3558 4412 6618 7116 10081 13236 18751 20162 30243 37502 40324 56253 60486 75004 112506 120972 225012 654079 1308158 1962237 2616316 3924474 7848948 11119343 22238686 33358029 44477372 66716058 133432116