Search a number
-
+
133245192 = 23331792267
BaseRepresentation
bin1111111000100…
…10100100001000
3100021201120001010
413330102210020
5233102321232
621115523520
73205364643
oct774224410
9307646033
10133245192
11692390a3
12387595a0
13217b3912
14139a6a5a
15ba700cc
hex7f12908

133245192 has 64 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 42419520.

The previous prime is 133245181. The next prime is 133245199. The reversal of 133245192 is 291542331.

It is a super-2 number, since 2×1332451922 = 35508562382233728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133245199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57643 + ... + 59909.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2133245192 is an apocalyptic number.

133245192 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 133245192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

133245192 is an abundant number, since it is smaller than the sum of its proper divisors (215119608).

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

133245192 is a wasteful number, since it uses less digits than its factorization.

133245192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2382 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 133245192 is about 11543.1881211388. The cubic root of 133245192 is about 510.7603575557.

The spelling of 133245192 in words is "one hundred thirty-three million, two hundred forty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 79 93 124 158 186 237 248 316 372 474 632 744 948 1896 2267 2449 4534 4898 6801 7347 9068 9796 13602 14694 18136 19592 27204 29388 54408 58776 70277 140554 179093 210831 281108 358186 421662 537279 562216 716372 843324 1074558 1432744 1686648 2149116 4298232 5551883 11103766 16655649 22207532 33311298 44415064 66622596 133245192