Search a number
-
+
2390075640 = 233352213033
BaseRepresentation
bin1000111001110101…
…1010100011111000
320011120100102102000
42032131122203320
514343324410030
61033055341000
7113141210361
oct21635324370
96146312360
102390075640
111017154227
12568521760
132c1222654
141895d8b68
15dec65860
hex8e75a8f8

2390075640 has 64 divisors (see below), whose sum is σ = 7966922400. Its totient is φ = 637353216.

The previous prime is 2390075609. The next prime is 2390075647. The reversal of 2390075640 is 465700932.

2390075640 is a `hidden beast` number, since 2 + 3 + 9 + 0 + 0 + 7 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2390075595 and 2390075604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2390075647) 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 15 ways as a sum of consecutive naturals, for example, 1105437 + ... + 1107596.

Almost surely, 22390075640 is an apocalyptic number.

2390075640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2390075640 is an abundant number, since it is smaller than the sum of its proper divisors (5576846760).

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

2390075640 is a wasteful number, since it uses less digits than its factorization.

2390075640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213053 (or 2213043 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2390075640 is about 48888.3998510894. The cubic root of 2390075640 is about 1337.0178800963.

The spelling of 2390075640 in words is "two billion, three hundred ninety million, seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2213033 4426066 6639099 8852132 11065165 13278198 17704264 19917297 22130330 26556396 33195495 39834594 44260660 53112792 59751891 66390990 79669188 88521320 99586485 119503782 132781980 159338376 199172970 239007564 265563960 298759455 398345940 478015128 597518910 796691880 1195037820 2390075640