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133083396 = 22323696761
BaseRepresentation
bin1111110111010…
…11000100000100
3100021102100002200
413323223010010
5233032132041
621112234500
73204122145
oct773530404
9307370080
10133083396
1169138586
123869ba30
1321758094
1413963acc
15ba3c1b6
hex7eeb104

133083396 has 18 divisors (see below), whose sum is σ = 336405342. Its totient is φ = 44361120.

The previous prime is 133083383. The next prime is 133083437. The reversal of 133083396 is 693380331.

133083396 is a `hidden beast` number, since 13 + 308 + 339 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101002500 + 32080896 = 10050^2 + 5664^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1330833962 = 35422380581785632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3696761 = 133083396 / (1 + 3 + 3 + 0 + 8 + 3 + 3 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 133083396.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1848345 + ... + 1848416.

Almost surely, 2133083396 is an apocalyptic number.

It is an amenable number.

133083396 is an abundant number, since it is smaller than the sum of its proper divisors (203321946).

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

133083396 is a wasteful number, since it uses less digits than its factorization.

133083396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696771 (or 3696766 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 133083396 is about 11536.1777032083. The cubic root of 133083396 is about 510.5535397013.

The spelling of 133083396 in words is "one hundred thirty-three million, eighty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3696761 7393522 11090283 14787044 22180566 33270849 44361132 66541698 133083396