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5148360 = 233457227
BaseRepresentation
bin10011101000111011001000
3100200120020000
4103220323020
52304221420
6302203000
761521540
oct23507310
910616200
105148360
1129a7048
121883460
1310b3489
14980320
156ba690
hex4e8ec8

5148360 has 160 divisors (see below), whose sum is σ = 19863360. Its totient is φ = 1171584.

The previous prime is 5148359. The next prime is 5148371. The reversal of 5148360 is 638415.

It is a Cunningham number, because it is equal to 22692-1.

It is a super-2 number, since 2×51483602 = 53011221379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 22567 + ... + 22793.

It is an arithmetic number, because the mean of its divisors is an integer number (124146).

Almost surely, 25148360 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 5148360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9931680).

5148360 is an abundant number, since it is smaller than the sum of its proper divisors (14715000).

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

5148360 is a wasteful number, since it uses less digits than its factorization.

5148360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5148360 is about 2268.9997796386. Note that the first 3 decimals coincide. The cubic root of 5148360 is about 172.6724173998.

The spelling of 5148360 in words is "five million, one hundred forty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 227 252 270 280 315 324 360 378 405 420 454 504 540 567 630 648 681 756 810 840 908 945 1080 1134 1135 1260 1362 1512 1589 1620 1816 1890 2043 2268 2270 2520 2724 2835 3178 3240 3405 3780 4086 4536 4540 4767 5448 5670 6129 6356 6810 7560 7945 8172 9080 9534 10215 11340 12258 12712 13620 14301 15890 16344 18387 19068 20430 22680 23835 24516 27240 28602 30645 31780 36774 38136 40860 42903 47670 49032 57204 61290 63560 71505 73548 81720 85806 91935 95340 114408 122580 128709 143010 147096 171612 183870 190680 214515 245160 257418 286020 343224 367740 429030 514836 572040 643545 735480 858060 1029672 1287090 1716120 2574180 5148360