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5135040 = 263251783
BaseRepresentation
bin10011100101101011000000
3100122212221200
4103211223000
52303310130
6302021200
761434651
oct23455300
910585850
105135040
112998039
121877800
1310aa3b1
14979528
156b6760
hex4e5ac0

5135040 has 84 divisors (see below), whose sum is σ = 17672304. Its totient is φ = 1368576.

The previous prime is 5135029. The next prime is 5135063. The reversal of 5135040 is 405315.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1989 + ... + 3771.

Almost surely, 25135040 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 5135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8836152).

5135040 is an abundant number, since it is smaller than the sum of its proper divisors (12537264).

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

5135040 is a wasteful number, since it uses less digits than its factorization.

5135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5135040 is about 2266.0626646234. The cubic root of 5135040 is about 172.5233742743.

The spelling of 5135040 in words is "five million, one hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 1783 2880 3566 5349 7132 8915 10698 14264 16047 17830 21396 26745 28528 32094 35660 42792 53490 57056 64188 71320 80235 85584 106980 114112 128376 142640 160470 171168 213960 256752 285280 320940 342336 427920 513504 570560 641880 855840 1027008 1283760 1711680 2567520 5135040