Search a number
-
+
132599808 = 2123311109
BaseRepresentation
bin1111110011101…
…01000000000000
3100020111202202000
413321311000000
5232421143213
621054024000
73200036235
oct771650000
9306452660
10132599808
1168938220
12384a8000
1321618c33
141387978c
15b993c73
hex7e75000

132599808 has 208 divisors, whose sum is σ = 432484800. Its totient is φ = 39813120.

The previous prime is 132599791. The next prime is 132599809. The reversal of 132599808 is 808995231.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132599809) by changing a digit.

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, 1216458 + ... + 1216566.

Almost surely, 2132599808 is an apocalyptic number.

132599808 is a gapful number since it is divisible by the number (18) 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 132599808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216242400).

132599808 is an abundant number, since it is smaller than the sum of its proper divisors (299884992).

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

132599808 is a wasteful number, since it uses less digits than its factorization.

132599808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 132599808 is about 11515.1989995831. The cubic root of 132599808 is about 509.9343860225.

The spelling of 132599808 in words is "one hundred thirty-two million, five hundred ninety-nine thousand, eight hundred eight".