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5346072 = 2332411811
BaseRepresentation
bin10100011001001100011000
3101001121102200
4110121030120
52332033242
6310330200
763304134
oct24311430
911047380
105346072
113021646
121959960
131152474
149d23c4
1570904c
hex519318

5346072 has 48 divisors (see below), whose sum is σ = 14840280. Its totient is φ = 1737600.

The previous prime is 5346071. The next prime is 5346073. The reversal of 5346072 is 2706435.

It is a happy number.

5346072 is a `hidden beast` number, since 53 + 4 + 607 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5346071) and next prime (5346073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2047 + ... + 3857.

Almost surely, 25346072 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 5346072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420140).

5346072 is an abundant number, since it is smaller than the sum of its proper divisors (9494208).

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

5346072 is a wasteful number, since it uses less digits than its factorization.

5346072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5346072 is about 2312.1574340862. The cubic root of 5346072 is about 174.8550854740.

The spelling of 5346072 in words is "five million, three hundred forty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 1811 2952 3622 5433 7244 10866 14488 16299 21732 32598 43464 65196 74251 130392 148502 222753 297004 445506 594008 668259 891012 1336518 1782024 2673036 5346072