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5189940 = 2233571373
BaseRepresentation
bin10011110011000100110100
3100202200021000
4103303010310
52312034230
6303123300
762054010
oct23630464
910680230
105189940
112a25308
1218a3530
1310c9392
14991540
156c7b60
hex4f3134

5189940 has 96 divisors (see below), whose sum is σ = 18466560. Its totient is φ = 1185408.

The previous prime is 5189939. The next prime is 5189957. The reversal of 5189940 is 499815.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5189895 and 5189904.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3094 + ... + 4466.

It is an arithmetic number, because the mean of its divisors is an integer number (192360).

Almost surely, 25189940 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 5189940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233280).

5189940 is an abundant number, since it is smaller than the sum of its proper divisors (13276620).

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

5189940 is a wasteful number, since it uses less digits than its factorization.

5189940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5189940 is about 2278.1439814024. The cubic root of 5189940 is about 173.1360263105.

The spelling of 5189940 in words is "five million, one hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1373 1890 2746 3780 4119 5492 6865 8238 9611 12357 13730 16476 19222 20595 24714 27460 28833 37071 38444 41190 48055 49428 57666 61785 74142 82380 86499 96110 115332 123570 144165 148284 172998 185355 192220 247140 259497 288330 345996 370710 432495 518994 576660 741420 864990 1037988 1297485 1729980 2594970 5189940