Search a number
-
+
133342632 = 2333617327
BaseRepresentation
bin1111111001010…
…10010110101000
3100021220111201000
413330222112220
5233113431012
621121555000
73206252013
oct774522650
9307814630
10133342632
11692a5325
12387a5a60
1321819087
14139d037a
15ba8dddc
hex7f2a5a8

133342632 has 32 divisors (see below), whose sum is σ = 370396800. Its totient is φ = 44447472.

The previous prime is 133342631. The next prime is 133342637. The reversal of 133342632 is 236243331.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 133342596 and 133342605.

It is not an unprimeable number, because it can be changed into a prime (133342631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308448 + ... + 308879.

It is an arithmetic number, because the mean of its divisors is an integer number (11574900).

Almost surely, 2133342632 is an apocalyptic number.

133342632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133342632 is an abundant number, since it is smaller than the sum of its proper divisors (237054168).

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

133342632 is a wasteful number, since it uses less digits than its factorization.

133342632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617342 (or 617332 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 133342632 is about 11547.4080208504. The cubic root of 133342632 is about 510.8848307463.

Adding to 133342632 its reverse (236243331), we get a palindrome (369585963).

The spelling of 133342632 in words is "one hundred thirty-three million, three hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 617327 1234654 1851981 2469308 3703962 4938616 5555943 7407924 11111886 14815848 16667829 22223772 33335658 44447544 66671316 133342632