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5679301360 = 245716911447
BaseRepresentation
bin1010100101000001…
…10100001011110000
3112122210121101211211
411102200310023300
543112400120420
62335315045504
7260511156625
oct52240641360
915583541754
105679301360
1124548aa197
121125ba0894
136c6801865
143bc3ac34c
152338dae5a
hex1528342f0

5679301360 has 80 divisors (see below), whose sum is σ = 13418998272. Its totient is φ = 2234937600.

The previous prime is 5679301283. The next prime is 5679301363. The reversal of 5679301360 is 631039765.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5679301363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3924157 + ... + 3925603.

Almost surely, 25679301360 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 5679301360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709499136).

5679301360 is an abundant number, since it is smaller than the sum of its proper divisors (7739696912).

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

5679301360 is a wasteful number, since it uses less digits than its factorization.

5679301360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 5679301360 is about 75361.1395879866. The cubic root of 5679301360 is about 1784.1511246963.

The spelling of 5679301360 in words is "five billion, six hundred seventy-nine million, three hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 691 710 1136 1382 1420 1447 2764 2840 2894 3455 5528 5680 5788 6910 7235 11056 11576 13820 14470 23152 27640 28940 49061 55280 57880 98122 102737 115760 196244 205474 245305 392488 410948 490610 513685 784976 821896 981220 999877 1027370 1643792 1962440 1999754 2054740 3924880 3999508 4109480 4999385 7999016 8218960 9998770 15998032 19997540 39995080 70991267 79990160 141982534 283965068 354956335 567930136 709912670 1135860272 1419825340 2839650680 5679301360