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5002920 = 23325131069
BaseRepresentation
bin10011000101011010101000
3100102011201100
4103011122220
52240043140
6255121400
760344526
oct23053250
910364640
105002920
11290784a
121813260
131062210
14943316
1568c530
hex4c56a8

5002920 has 96 divisors (see below), whose sum is σ = 17526600. Its totient is φ = 1230336.

The previous prime is 5002903. The next prime is 5002927. The reversal of 5002920 is 292005.

It can be written as a sum of positive squares in 4 ways, for example, as 3048516 + 1954404 = 1746^2 + 1398^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5002893 and 5002902.

It is not an unprimeable number, because it can be changed into a prime (5002927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4146 + ... + 5214.

Almost surely, 25002920 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 5002920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763300).

5002920 is an abundant number, since it is smaller than the sum of its proper divisors (12523680).

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

5002920 is a wasteful number, since it uses less digits than its factorization.

5002920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5002920 is about 2236.7208140490. The cubic root of 5002920 is about 171.0308757216.

Adding to 5002920 its reverse (292005), we get a palindrome (5294925).

Subtracting from 5002920 its reverse (292005), we obtain a triangular number (4710915 = T3069).

The spelling of 5002920 in words is "five million, two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1069 1170 1560 2138 2340 3207 4276 4680 5345 6414 8552 9621 10690 12828 13897 16035 19242 21380 25656 27794 32070 38484 41691 42760 48105 55588 64140 69485 76968 83382 96210 111176 125073 128280 138970 166764 192420 208455 250146 277940 333528 384840 416910 500292 555880 625365 833820 1000584 1250730 1667640 2501460 5002920