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1940100757 = 72181121863
BaseRepresentation
bin111001110100011…
…1001011010010101
312000012122022220121
41303220321122111
512433131211012
6520303031541
766035404300
oct16350713225
95005568817
101940100757
11906155461
1246189b5b1
1324bc3421a
14145945b37
15b54cea07
hex73a39695

1940100757 has 12 divisors (see below), whose sum is σ = 2258201376. Its totient is φ = 1661949240.

The previous prime is 1940100749. The next prime is 1940100763. The reversal of 1940100757 is 7570010491.

It is not a de Polignac number, because 1940100757 - 23 = 1940100749 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940100857) 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 11 ways as a sum of consecutive naturals, for example, 77808 + ... + 99670.

It is an arithmetic number, because the mean of its divisors is an integer number (188183448).

Almost surely, 21940100757 is an apocalyptic number.

It is an amenable number.

1940100757 is a deficient number, since it is larger than the sum of its proper divisors (318100619).

1940100757 is a wasteful number, since it uses less digits than its factorization.

1940100757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23688 (or 23681 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 1940100757 is about 44046.5748611626. The cubic root of 1940100757 is about 1247.2152957713.

The spelling of 1940100757 in words is "one billion, nine hundred forty million, one hundred thousand, seven hundred fifty-seven".

Divisors: 1 7 49 1811 12677 21863 88739 153041 1071287 39593893 277157251 1940100757