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5237120 = 27572167
BaseRepresentation
bin10011111110100110000000
3100212001222102
4103332212000
52320041440
6304125532
762341400
oct23764600
910761872
105237120
112a577a9
1219068a8
1311149b5
149a4800
156d6b15
hex4fe980

5237120 has 96 divisors (see below), whose sum is σ = 14651280. Its totient is φ = 1784832.

The previous prime is 5237059. The next prime is 5237129. The reversal of 5237120 is 217325.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 5237092 and 5237101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5237129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31277 + ... + 31443.

Almost surely, 25237120 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 5237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325640).

5237120 is an abundant number, since it is smaller than the sum of its proper divisors (9414160).

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

5237120 is a wasteful number, since it uses less digits than its factorization.

5237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5237120 is about 2288.4754750707. The cubic root of 5237120 is about 173.6590849869.

The spelling of 5237120 in words is "five million, two hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 167 196 224 245 280 320 334 392 448 490 560 640 668 784 835 896 980 1120 1169 1336 1568 1670 1960 2240 2338 2672 3136 3340 3920 4480 4676 5344 5845 6272 6680 7840 8183 9352 10688 11690 13360 15680 16366 18704 21376 23380 26720 31360 32732 37408 40915 46760 53440 65464 74816 81830 93520 106880 130928 149632 163660 187040 261856 327320 374080 523712 654640 748160 1047424 1309280 2618560 5237120