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5188040 = 2351113907
BaseRepresentation
bin10011110010100111001000
3100202120122122
4103302213020
52312004130
6303110412
762045324
oct23624710
910676578
105188040
112a23940
1218a2408
1310c8560
14990984
156c72e5
hex4f29c8

5188040 has 64 divisors (see below), whose sum is σ = 13728960. Its totient is φ = 1739520.

The previous prime is 5188021. The next prime is 5188061. The reversal of 5188040 is 408815.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 5267 + ... + 6173.

It is an arithmetic number, because the mean of its divisors is an integer number (214515).

Almost surely, 25188040 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 5188040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864480).

5188040 is an abundant number, since it is smaller than the sum of its proper divisors (8540920).

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

5188040 is a wasteful number, since it uses less digits than its factorization.

5188040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 5188040 is about 2277.7269371020. The cubic root of 5188040 is about 173.1148957772.

It can be divided in two parts, 518 and 8040, that added together give a palindrome (8558).

The spelling of 5188040 in words is "five million, one hundred eighty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 907 1144 1430 1814 2860 3628 4535 5720 7256 9070 9977 11791 18140 19954 23582 36280 39908 47164 49885 58955 79816 94328 99770 117910 129701 199540 235820 259402 399080 471640 518804 648505 1037608 1297010 2594020 5188040