Search a number
-
+
133944912 = 2432930173
BaseRepresentation
bin1111111101111…
…01011001010000
3100100001002212200
413332331121100
5233242214122
621142523200
73214340643
oct776753120
9310032780
10133944912
1169676882
1238a36500
132199a25a
1413b09a5a
15bb5c5ac
hex7fbd650

133944912 has 30 divisors (see below), whose sum is σ = 374860122. Its totient is φ = 44648256.

The previous prime is 133944857. The next prime is 133944913. The reversal of 133944912 is 219449331.

It can be written as a sum of positive squares in only one way, i.e., 122412096 + 11532816 = 11064^2 + 3396^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133944913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 464943 + ... + 465230.

Almost surely, 2133944912 is an apocalyptic number.

133944912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133944912 is an abundant number, since it is smaller than the sum of its proper divisors (240915210).

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

133944912 is a wasteful number, since it uses less digits than its factorization.

133944912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930187 (or 930178 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133944912 is about 11573.4572189990. The cubic root of 133944912 is about 511.6528612081.

The spelling of 133944912 in words is "one hundred thirty-three million, nine hundred forty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 930173 1860346 2790519 3720692 5581038 7441384 8371557 11162076 14882768 16743114 22324152 33486228 44648304 66972456 133944912