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5373600 = 253522239
BaseRepresentation
bin10100011111111010100000
3101010000012020
4110133322200
52333423400
6311101440
763450321
oct24377240
911100166
105373600
1130402a1
121971880
131161b5b
149dc448
157122a0
hex51fea0

5373600 has 72 divisors (see below), whose sum is σ = 17498880. Its totient is φ = 1432320.

The previous prime is 5373593. The next prime is 5373607. The reversal of 5373600 is 63735.

5373600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5373593) and next prime (5373607).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5373607) 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, 1281 + ... + 3519.

It is an arithmetic number, because the mean of its divisors is an integer number (243040).

Almost surely, 25373600 is an apocalyptic number.

5373600 is a gapful number since it is divisible by the number (50) 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 5373600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8749440).

5373600 is an abundant number, since it is smaller than the sum of its proper divisors (12125280).

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

5373600 is a wasteful number, since it uses less digits than its factorization.

5373600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 5373600 is about 2318.1026724457. The cubic root of 5373600 is about 175.1546931490.

The spelling of 5373600 in words is "five million, three hundred seventy-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2239 2400 4478 6717 8956 11195 13434 17912 22390 26868 33585 35824 44780 53736 55975 67170 71648 89560 107472 111950 134340 167925 179120 214944 223900 268680 335850 358240 447800 537360 671700 895600 1074720 1343400 1791200 2686800 5373600