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5760000675 = 32521113179021
BaseRepresentation
bin1010101110101001…
…01010001010100011
3112212102110100111100
411113110222022203
543244030010200
62351320445443
7262511124612
oct52724521243
915772410440
105760000675
112496408840
121149019883
1370a448330
143c8db7879
1523aa2bd00
hex15752a2a3

5760000675 has 72 divisors (see below), whose sum is σ = 12120505488. Its totient is φ = 2577888000.

The previous prime is 5760000667. The next prime is 5760000683.

5760000675 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (5760000667) and next prime (5760000683).

It is not a de Polignac number, because 5760000675 - 23 = 5760000667 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57336 + ... + 121685.

It is an arithmetic number, because the mean of its divisors is an integer number (168340354).

Almost surely, 25760000675 is an apocalyptic number.

5760000675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5760000675 is an abundant number, since it is smaller than the sum of its proper divisors (6360504813).

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

5760000675 is a wasteful number, since it uses less digits than its factorization.

5760000675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179061 (or 179053 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 5760000675 is about 75894.6682909939. The cubic root of 5760000675 is about 1792.5619686448.

It can be divided in two parts, 5760000 and 675, that added together give a palindrome (5760675).

The spelling of 5760000675 in words is "five billion, seven hundred sixty million, six hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 195 225 275 325 429 495 585 715 825 975 1287 2145 2475 2925 3575 6435 10725 32175 179021 537063 895105 1611189 1969231 2327273 2685315 4475525 5907693 6981819 8055945 9846155 11636365 13426575 17723079 20945457 25600003 29538465 34909095 40279725 49230775 58181825 76800009 88615395 104727285 128000015 147692325 174545475 230400027 384000045 443076975 523636425 640000075 1152000135 1920000225 5760000675