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5387520 = 28352361
BaseRepresentation
bin10100100011010100000000
3101010201021210
4110203110000
52334400040
6311250120
763536025
oct24432400
911121253
105387520
11304a7a6
121979940
1311682a8
14a0354c
15716480
hex523500

5387520 has 144 divisors (see below), whose sum is σ = 18248832. Its totient is φ = 1351680.

The previous prime is 5387519. The next prime is 5387539. The reversal of 5387520 is 257835.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88290 + ... + 88350.

It is an arithmetic number, because the mean of its divisors is an integer number (126728).

Almost surely, 25387520 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 5387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9124416).

5387520 is an abundant number, since it is smaller than the sum of its proper divisors (12861312).

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

5387520 is a wasteful number, since it uses less digits than its factorization.

5387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 5387520 is about 2321.1031859872. The cubic root of 5387520 is about 175.3058054421.

The spelling of 5387520 in words is "five million, three hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 61 64 69 80 92 96 115 120 122 128 138 160 183 184 192 230 240 244 256 276 305 320 345 366 368 384 460 480 488 552 610 640 690 732 736 768 915 920 960 976 1104 1220 1280 1380 1403 1464 1472 1830 1840 1920 1952 2208 2440 2760 2806 2928 2944 3660 3680 3840 3904 4209 4416 4880 5520 5612 5856 5888 7015 7320 7360 7808 8418 8832 9760 11040 11224 11712 14030 14640 14720 15616 16836 17664 19520 21045 22080 22448 23424 28060 29280 29440 33672 39040 42090 44160 44896 46848 56120 58560 67344 78080 84180 88320 89792 112240 117120 134688 168360 179584 224480 234240 269376 336720 359168 448960 538752 673440 897920 1077504 1346880 1795840 2693760 5387520