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5318676 = 223311337
BaseRepresentation
bin10100010010100000010100
3101000012212000
4110102200110
52330144201
6305555300
763131226
oct24224024
911005760
105318676
113003000
121945b30
131142b5c
149c6416
15700d86
hex512814

5318676 has 96 divisors (see below), whose sum is σ = 15576960. Its totient is φ = 1568160.

The previous prime is 5318659. The next prime is 5318683. The reversal of 5318676 is 6768135.

5318676 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5318676.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143730 + ... + 143766.

It is an arithmetic number, because the mean of its divisors is an integer number (162260).

Almost surely, 25318676 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 5318676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788480).

5318676 is an abundant number, since it is smaller than the sum of its proper divisors (10258284).

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

5318676 is a wasteful number, since it uses less digits than its factorization.

5318676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5318676 is about 2306.2254876746. The cubic root of 5318676 is about 174.5558915989. Note that the first 3 decimals are identical.

5318676 divided by its sum of digits (36) gives a palindrome (147741).

The spelling of 5318676 in words is "five million, three hundred eighteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 121 132 148 198 222 242 297 333 363 396 407 444 484 594 666 726 814 999 1089 1188 1221 1331 1332 1452 1628 1998 2178 2442 2662 3267 3663 3993 3996 4356 4477 4884 5324 6534 7326 7986 8954 10989 11979 13068 13431 14652 15972 17908 21978 23958 26862 35937 40293 43956 47916 49247 53724 71874 80586 98494 120879 143748 147741 161172 196988 241758 295482 443223 483516 590964 886446 1329669 1772892 2659338 5318676