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5764880540 = 22517231375381
BaseRepresentation
bin1010101111001110…
…10001100010011100
3112212202122021102002
411113213101202130
543301302134130
62352013221432
7262600450616
oct52747214234
915782567362
105764880540
112499141091
12114a791878
1370b466523
143c98c7db6
1523b192b45
hex1579d189c

5764880540 has 96 divisors (see below), whose sum is σ = 13475839104. Its totient is φ = 2060410880.

The previous prime is 5764880533. The next prime is 5764880549. The reversal of 5764880540 is 450884675.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5764880549) 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 31 ways as a sum of consecutive naturals, for example, 1068650 + ... + 1074030.

It is an arithmetic number, because the mean of its divisors is an integer number (140373324).

Almost surely, 25764880540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5764880540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6737919552).

5764880540 is an abundant number, since it is smaller than the sum of its proper divisors (7710958564).

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

5764880540 is a wasteful number, since it uses less digits than its factorization.

5764880540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5565 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The square root of 5764880540 is about 75926.8104163477. The cubic root of 5764880540 is about 1793.0680444706.

The spelling of 5764880540 in words is "five billion, seven hundred sixty-four million, eight hundred eighty thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 137 170 230 274 340 391 460 548 685 782 1370 1564 1955 2329 2740 3151 3910 4658 5381 6302 7820 9316 10762 11645 12604 15755 21524 23290 26905 31510 46580 53567 53810 63020 91477 107134 107620 123763 182954 214268 247526 267835 365908 457385 495052 535670 618815 737197 914770 1071340 1237630 1474394 1829540 2103971 2475260 2948788 3685985 4207942 7371970 8415884 10519855 12532349 14743940 16955531 21039710 25064698 33911062 42079420 50129396 62661745 67822124 84777655 125323490 169555310 250646980 288244027 339110620 576488054 1152976108 1441220135 2882440270 5764880540