Search a number
-
+
133036728 = 23311503927
BaseRepresentation
bin1111110110111…
…11101010111000
3100021022222002020
413323133222320
5233024133403
621111234440
73203536116
oct773375270
9307288066
10133036728
1169106510
1238678a20
132173ca76
1413950ab6
15ba2d453
hex7edfab8

133036728 has 32 divisors (see below), whose sum is σ = 362828160. Its totient is φ = 40314080.

The previous prime is 133036723. The next prime is 133036753. The reversal of 133036728 is 827630331.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133036723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251700 + ... + 252227.

It is an arithmetic number, because the mean of its divisors is an integer number (11338380).

Almost surely, 2133036728 is an apocalyptic number.

It is an amenable number.

133036728 is an abundant number, since it is smaller than the sum of its proper divisors (229791432).

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

133036728 is a wasteful number, since it uses less digits than its factorization.

133036728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503947 (or 503943 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 133036728 is about 11534.1548455013. The cubic root of 133036728 is about 510.4938545742.

The spelling of 133036728 in words is "one hundred thirty-three million, thirty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 503927 1007854 1511781 2015708 3023562 4031416 5543197 6047124 11086394 12094248 16629591 22172788 33259182 44345576 66518364 133036728