Search a number
-
+
5613440 = 27572179
BaseRepresentation
bin10101011010011110000000
3101120012012012
4111122132000
52414112230
6320152052
765466500
oct25323600
911505165
105613440
113194508
121a68628
131217081
14a61a00
1575d395
hex55a780

5613440 has 96 divisors (see below), whose sum is σ = 15697800. Its totient is φ = 1913856.

The previous prime is 5613431. The next prime is 5613457. The reversal of 5613440 is 443165.

It is a happy number.

It is a congruent number.

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, 31271 + ... + 31449.

Almost surely, 25613440 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 5613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848900).

5613440 is an abundant number, since it is smaller than the sum of its proper divisors (10084360).

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

5613440 is a wasteful number, since it uses less digits than its factorization.

5613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5613440 is about 2369.2699297463. The cubic root of 5613440 is about 177.7227514884.

The spelling of 5613440 in words is "five million, six hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 179 196 224 245 280 320 358 392 448 490 560 640 716 784 895 896 980 1120 1253 1432 1568 1790 1960 2240 2506 2864 3136 3580 3920 4480 5012 5728 6265 6272 7160 7840 8771 10024 11456 12530 14320 15680 17542 20048 22912 25060 28640 31360 35084 40096 43855 50120 57280 70168 80192 87710 100240 114560 140336 160384 175420 200480 280672 350840 400960 561344 701680 801920 1122688 1403360 2806720 5613440