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5118768 = 243317241
BaseRepresentation
bin10011100001101100110000
3100122001122000
4103201230300
52302300033
6301414000
761336344
oct23415460
910561560
105118768
112986896
12186a300
1310a2b75
14973624
156b1a13
hex4e1b30

5118768 has 120 divisors (see below), whose sum is σ = 15988560. Its totient is φ = 1566720.

The previous prime is 5118767. The next prime is 5118779. The reversal of 5118768 is 8678115.

5118768 is a `hidden beast` number, since 511 + 87 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5118767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124828 + ... + 124868.

It is an arithmetic number, because the mean of its divisors is an integer number (133238).

Almost surely, 25118768 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 5118768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994280).

5118768 is an abundant number, since it is smaller than the sum of its proper divisors (10869792).

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

5118768 is a wasteful number, since it uses less digits than its factorization.

5118768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 5118768 is about 2262.4694473075. The cubic root of 5118768 is about 172.3409498043.

It can be divided in two parts, 5118 and 768, that added together give a triangular number (5886 = T108).

The spelling of 5118768 in words is "five million, one hundred eighteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 41 48 51 54 68 72 82 102 108 123 136 144 153 164 204 216 246 272 289 306 328 369 408 432 459 492 578 612 656 697 738 816 867 918 984 1107 1156 1224 1394 1476 1734 1836 1968 2091 2214 2312 2448 2601 2788 2952 3468 3672 4182 4428 4624 5202 5576 5904 6273 6936 7344 7803 8364 8856 10404 11152 11849 12546 13872 15606 16728 17712 18819 20808 23698 25092 31212 33456 35547 37638 41616 47396 50184 62424 71094 75276 94792 100368 106641 124848 142188 150552 189584 213282 284376 301104 319923 426564 568752 639846 853128 1279692 1706256 2559384 5118768