Search a number
-
+
933150090 = 2351091392053
BaseRepresentation
bin110111100111101…
…011110110001010
32102000212221021110
4313213223312022
53402341300330
6232332351150
732060434125
oct6747536612
92360787243
10933150090
11439814524
122206154b6
1311b432422
148bd093bc
1556dc8db0
hex379ebd8a

933150090 has 64 divisors (see below), whose sum is σ = 2277475200. Its totient is φ = 244664064.

The previous prime is 933150041. The next prime is 933150131. The reversal of 933150090 is 90051339.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 453504 + ... + 455556.

It is an arithmetic number, because the mean of its divisors is an integer number (35585550).

Almost surely, 2933150090 is an apocalyptic number.

933150090 is an abundant number, since it is smaller than the sum of its proper divisors (1344325110).

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

933150090 is a wasteful number, since it uses less digits than its factorization.

933150090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311.

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 933150090 is about 30547.5054628033. The cubic root of 933150090 is about 977.2008455683.

The spelling of 933150090 in words is "nine hundred thirty-three million, one hundred fifty thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 109 139 218 278 327 417 545 654 695 834 1090 1390 1635 2053 2085 3270 4106 4170 6159 10265 12318 15151 20530 30302 30795 45453 61590 75755 90906 151510 223777 227265 285367 447554 454530 570734 671331 856101 1118885 1342662 1426835 1712202 2237770 2853670 3356655 4280505 6713310 8561010 31105003 62210006 93315009 155525015 186630018 311050030 466575045 933150090