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6960057940 = 2251122876057
BaseRepresentation
bin1100111101101101…
…00000111001010100
3122222001120120120201
412132312200321110
5103223233323230
63110350110244
7334322342053
oct63666407124
918861516521
106960057940
112a51853600
121422aab384
1386bc5c8a4
144a052039a
152ab0795ca
hex19eda0e54

6960057940 has 36 divisors (see below), whose sum is σ = 16065659988. Its totient is φ = 2530929280.

The previous prime is 6960057931. The next prime is 6960057943. The reversal of 6960057940 is 497500696.

It can be written as a sum of positive squares in 2 ways, for example, as 4630258116 + 2329799824 = 68046^2 + 48268^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6960057943) 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, 1435609 + ... + 1440448.

It is an arithmetic number, because the mean of its divisors is an integer number (446268333).

Almost surely, 26960057940 is an apocalyptic number.

It is an amenable number.

6960057940 is an abundant number, since it is smaller than the sum of its proper divisors (9105602048).

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

6960057940 is a wasteful number, since it uses less digits than its factorization.

6960057940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876088 (or 2876075 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 6960057940 is about 83426.9617090303. The cubic root of 6960057940 is about 1909.2858399279.

The spelling of 6960057940 in words is "six billion, nine hundred sixty million, fifty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 2876057 5752114 11504228 14380285 28760570 31636627 57521140 63273254 126546508 158183135 316366270 348002897 632732540 696005794 1392011588 1740014485 3480028970 6960057940