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5013840 = 2435131607
BaseRepresentation
bin10011001000000101010000
3100102201200210
4103020011100
52240420330
6255244120
760421416
oct23100520
910381623
105013840
112914a77
121819640
131067190
149472b6
156908b0
hex4c8150

5013840 has 80 divisors (see below), whose sum is σ = 16748928. Its totient is φ = 1233408.

The previous prime is 5013829. The next prime is 5013851. The reversal of 5013840 is 483105.

It is an interprime number because it is at equal distance from previous prime (5013829) and next prime (5013851).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317 + ... + 3923.

Almost surely, 25013840 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 5013840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374464).

5013840 is an abundant number, since it is smaller than the sum of its proper divisors (11735088).

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

5013840 is a wasteful number, since it uses less digits than its factorization.

5013840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5013840 is about 2239.1605569945. The cubic root of 5013840 is about 171.1552230992.

Adding to 5013840 its reverse (483105), we get a palindrome (5496945).

The spelling of 5013840 in words is "five million, thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 1607 3120 3214 4821 6428 8035 9642 12856 16070 19284 20891 24105 25712 32140 38568 41782 48210 62673 64280 77136 83564 96420 104455 125346 128560 167128 192840 208910 250692 313365 334256 385680 417820 501384 626730 835640 1002768 1253460 1671280 2506920 5013840