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5997200 = 2452112947
BaseRepresentation
bin10110111000001010010000
3102021200121112
4112320022100
53013402300
6332312452
7101655356
oct26701220
912250545
105997200
113426870
122012728
13131c951
14b217d6
157d6e35
hex5b8290

5997200 has 120 divisors (see below), whose sum is σ = 16606080. Its totient is φ = 2060800.

The previous prime is 5997197. The next prime is 5997203. The reversal of 5997200 is 27995.

It is an interprime number because it is at equal distance from previous prime (5997197) and next prime (5997203).

It is not an unprimeable number, because it can be changed into a prime (5997203) 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, 127577 + ... + 127623.

It is an arithmetic number, because the mean of its divisors is an integer number (138384).

Almost surely, 25997200 is an apocalyptic number.

5997200 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 5997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303040).

5997200 is an abundant number, since it is smaller than the sum of its proper divisors (10608880).

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

5997200 is a wasteful number, since it uses less digits than its factorization.

5997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 5997200 is about 2448.9181284804. The cubic root of 5997200 is about 181.6837885648.

The spelling of 5997200 in words is "five million, nine hundred ninety-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 47 50 55 58 80 88 94 100 110 116 145 176 188 200 220 232 235 275 290 319 376 400 440 464 470 517 550 580 638 725 752 880 940 1034 1100 1160 1175 1276 1363 1450 1595 1880 2068 2200 2320 2350 2552 2585 2726 2900 3190 3760 4136 4400 4700 5104 5170 5452 5800 6380 6815 7975 8272 9400 10340 10904 11600 12760 12925 13630 14993 15950 18800 20680 21808 25520 25850 27260 29986 31900 34075 41360 51700 54520 59972 63800 68150 74965 103400 109040 119944 127600 136300 149930 206800 239888 272600 299860 374825 545200 599720 749650 1199440 1499300 2998600 5997200