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5313672 = 2332713811
BaseRepresentation
bin10100010001010010001000
3100222221222200
4110101102020
52330014142
6305520200
763110520
oct24212210
910887880
105313672
112aaa271
121943060
1311407b0
149c4680
156ee64c
hex511488

5313672 has 96 divisors (see below), whose sum is σ = 17734080. Its totient is φ = 1399680.

The previous prime is 5313661. The next prime is 5313677. The reversal of 5313672 is 2763135.

It is a happy number.

5313672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×53136722 = 56470220247168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5313677) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6147 + ... + 6957.

It is an arithmetic number, because the mean of its divisors is an integer number (184730).

Almost surely, 25313672 is an apocalyptic number.

5313672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8867040).

5313672 is an abundant number, since it is smaller than the sum of its proper divisors (12420408).

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

5313672 is a wasteful number, since it uses less digits than its factorization.

5313672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 836 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 5313672 is about 2305.1403427991. The cubic root of 5313672 is about 174.5011316199.

The spelling of 5313672 in words is "five million, three hundred thirteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 811 819 936 1092 1622 1638 2184 2433 3244 3276 4866 5677 6488 6552 7299 9732 10543 11354 14598 17031 19464 21086 22708 29196 31629 34062 42172 45416 51093 58392 63258 68124 73801 84344 94887 102186 126516 136248 147602 189774 204372 221403 253032 295204 379548 408744 442806 590408 664209 759096 885612 1328418 1771224 2656836 5313672