Search a number
-
+
2040035652 = 2233130114519
BaseRepresentation
bin111100110011000…
…0111100101000100
312021011200112211000
41321212013211010
513134222120102
6534233013300
7101361005544
oct17146074504
95234615730
102040035652
11957601a86
1248b254230
132668541b5
14154d1b324
15be17001c
hex79987944

2040035652 has 48 divisors (see below), whose sum is σ = 5293411200. Its totient is φ = 679442400.

The previous prime is 2040035629. The next prime is 2040035677. The reversal of 2040035652 is 2565300402.

2040035652 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 0 + 3 + 5 + 652 = 666.

It is a super-2 number, since 2×20400356522 = 8323490922862130208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133249 + ... + 147767.

It is an arithmetic number, because the mean of its divisors is an integer number (110279400).

Almost surely, 22040035652 is an apocalyptic number.

It is an amenable number.

2040035652 is an abundant number, since it is smaller than the sum of its proper divisors (3253375548).

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

2040035652 is a wasteful number, since it uses less digits than its factorization.

2040035652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15833 (or 15825 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2040035652 is about 45166.7538350942. The cubic root of 2040035652 is about 1268.2725293001.

The spelling of 2040035652 in words is "two billion, forty million, thirty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1301 2602 3903 5204 7806 11709 14519 15612 23418 29038 35127 43557 46836 58076 70254 87114 130671 140508 174228 261342 392013 522684 784026 1568052 18889219 37778438 56667657 75556876 113335314 170002971 226670628 340005942 510008913 680011884 1020017826 2040035652