Search a number
-
+
5190804 = 223437433
BaseRepresentation
bin10011110011010010010100
3100202201110000
4103303102110
52312101204
6303131300
762056353
oct23632224
910681400
105190804
112a25a23
1218a3b30
1310c98a8
1499199a
156c8039
hex4f3494

5190804 has 60 divisors (see below), whose sum is σ = 13968724. Its totient is φ = 1679616.

The previous prime is 5190791. The next prime is 5190817. The reversal of 5190804 is 4080915.

It is an interprime number because it is at equal distance from previous prime (5190791) and next prime (5190817).

It can be written as a sum of positive squares in 2 ways, for example, as 2624400 + 2566404 = 1620^2 + 1602^2 .

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

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 19 ways as a sum of consecutive naturals, for example, 11772 + ... + 12204.

Almost surely, 25190804 is an apocalyptic number.

5190804 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5190804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984362).

5190804 is an abundant number, since it is smaller than the sum of its proper divisors (8777920).

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

5190804 is a wasteful number, since it uses less digits than its factorization.

5190804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5190804 is about 2278.3336015606. Note that the first 3 decimals coincide. The cubic root of 5190804 is about 173.1456334368.

The spelling of 5190804 in words is "five million, one hundred ninety thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 433 444 666 866 999 1299 1332 1732 1998 2598 2997 3897 3996 5196 5994 7794 11691 11988 15588 16021 23382 32042 35073 46764 48063 64084 70146 96126 140292 144189 192252 288378 432567 576756 865134 1297701 1730268 2595402 5190804