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5373120 = 263529193
BaseRepresentation
bin10100011111110011000000
3101002222112110
4110133303000
52333414440
6311055320
763446034
oct24376300
911088473
105373120
11303a9a5
121971540
13116187c
149dc1c4
15712080
hex51fcc0

5373120 has 112 divisors (see below), whose sum is σ = 17739360. Its totient is φ = 1376256.

The previous prime is 5373119. The next prime is 5373127. The reversal of 5373120 is 213735.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5373127) 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 15 ways as a sum of consecutive naturals, for example, 27744 + ... + 27936.

Almost surely, 25373120 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 5373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869680).

5373120 is an abundant number, since it is smaller than the sum of its proper divisors (12366240).

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

5373120 is a wasteful number, since it uses less digits than its factorization.

5373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 5373120 is about 2317.9991371871. Note that the first 3 decimals coincide. The cubic root of 5373120 is about 175.1494777282.

Adding to 5373120 its reverse (213735), we get a palindrome (5586855).

The spelling of 5373120 in words is "five million, three hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 192 193 232 240 290 320 348 386 435 464 480 579 580 696 772 870 928 960 965 1158 1160 1392 1544 1740 1856 1930 2316 2320 2784 2895 3088 3480 3860 4632 4640 5568 5597 5790 6176 6960 7720 9264 9280 11194 11580 12352 13920 15440 16791 18528 22388 23160 27840 27985 30880 33582 37056 44776 46320 55970 61760 67164 83955 89552 92640 111940 134328 167910 179104 185280 223880 268656 335820 358208 447760 537312 671640 895520 1074624 1343280 1791040 2686560 5373120