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5009040 = 24345773
BaseRepresentation
bin10011000110111010010000
3100102111010000
4103012322100
52240242130
6255210000
760401421
oct23067220
910374100
105009040
112911403
121816900
131064c3a
14945648
1568e260
hex4c6e90

5009040 has 100 divisors (see below), whose sum is σ = 17419644. Its totient is φ = 1334016.

The previous prime is 5009021. The next prime is 5009051. The reversal of 5009040 is 409005.

It can be written as a sum of positive squares in 2 ways, for example, as 944784 + 4064256 = 972^2 + 2016^2 .

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6094 + ... + 6866.

Almost surely, 25009040 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 5009040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709822).

5009040 is an abundant number, since it is smaller than the sum of its proper divisors (12410604).

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

5009040 is a wasteful number, since it uses less digits than its factorization.

5009040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 783 counting only the distinct ones).

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

The square root of 5009040 is about 2238.0884701012. The cubic root of 5009040 is about 171.1005871728.

The spelling of 5009040 in words is "five million, nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 773 810 1080 1296 1546 1620 2160 2319 3092 3240 3865 4638 6184 6480 6957 7730 9276 11595 12368 13914 15460 18552 20871 23190 27828 30920 34785 37104 41742 46380 55656 61840 62613 69570 83484 92760 104355 111312 125226 139140 166968 185520 208710 250452 278280 313065 333936 417420 500904 556560 626130 834840 1001808 1252260 1669680 2504520 5009040