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5000920 = 2353137109
BaseRepresentation
bin10011000100111011011000
3100102001222021
4103010323120
52240012140
6255104224
760335641
oct23047330
910361867
105000920
1129062a1
121812074
131061332
149426c8
1568bb4a
hex4c4ed8

5000920 has 64 divisors (see below), whose sum is σ = 12038400. Its totient is φ = 1866240.

The previous prime is 5000917. The next prime is 5000923. The reversal of 5000920 is 290005.

It is an interprime number because it is at equal distance from previous prime (5000917) and next prime (5000923).

It is a junction number, because it is equal to n+sod(n) for n = 5000894 and 5000903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000923) by changing a digit.

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, 45826 + ... + 45934.

It is an arithmetic number, because the mean of its divisors is an integer number (188100).

Almost surely, 25000920 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 5000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019200).

5000920 is an abundant number, since it is smaller than the sum of its proper divisors (7037480).

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

5000920 is a wasteful number, since it uses less digits than its factorization.

5000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 5000920 is about 2236.2736862916. The cubic root of 5000920 is about 171.0080818770.

Adding to 5000920 its reverse (290005), we get a palindrome (5290925).

Subtracting from 5000920 its reverse (290005), we obtain a triangular number (4710915 = T3069).

The spelling of 5000920 in words is "five million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 31 37 40 62 74 109 124 148 155 185 218 248 296 310 370 436 545 620 740 872 1090 1147 1240 1480 2180 2294 3379 4033 4360 4588 5735 6758 8066 9176 11470 13516 16132 16895 20165 22940 27032 32264 33790 40330 45880 67580 80660 125023 135160 161320 250046 500092 625115 1000184 1250230 2500460 5000920