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5178680 = 2351323433
BaseRepresentation
bin10011110000010100111000
3100202002210222
4103300110320
52311204210
6302555212
762006123
oct23602470
910662728
105178680
112a17901
121898b08
1310c4210
1498b3ba
156c4655
hex4f0538

5178680 has 64 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 1824768.

The previous prime is 5178661. The next prime is 5178689. The reversal of 5178680 is 868715.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5178680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5178689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11744 + ... + 12176.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 25178680 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 5178680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

5178680 is an abundant number, since it is smaller than the sum of its proper divisors (7945480).

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

5178680 is a wasteful number, since it uses less digits than its factorization.

5178680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 5178680 is about 2275.6713295201. The cubic root of 5178680 is about 173.0107247185.

Adding to 5178680 its sum of digits (35), we get a palindrome (5178715).

The spelling of 5178680 in words is "five million, one hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 433 460 520 598 866 920 1196 1495 1732 2165 2392 2990 3464 4330 5629 5980 8660 9959 11258 11960 17320 19918 22516 28145 39836 45032 49795 56290 79672 99590 112580 129467 199180 225160 258934 398360 517868 647335 1035736 1294670 2589340 5178680