Search a number
-
+
5187840 = 28357193
BaseRepresentation
bin10011110010100100000000
3100202120101020
4103302210000
52312002330
6303105440
762044620
oct23624400
910676336
105187840
112a23779
1218a2280
1310c8438
14990880
156c7210
hex4f2900

5187840 has 144 divisors (see below), whose sum is σ = 19033728. Its totient is φ = 1179648.

The previous prime is 5187827. The next prime is 5187841. The reversal of 5187840 is 487815.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5187841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26784 + ... + 26976.

Almost surely, 25187840 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 5187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516864).

5187840 is an abundant number, since it is smaller than the sum of its proper divisors (13845888).

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

5187840 is a wasteful number, since it uses less digits than its factorization.

5187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 5187840 is about 2277.6830332599. The cubic root of 5187840 is about 173.1126712104.

The spelling of 5187840 in words is "five million, one hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 193 210 224 240 256 280 320 336 384 386 420 448 480 560 579 640 672 768 772 840 896 960 965 1120 1158 1280 1344 1351 1544 1680 1792 1920 1930 2240 2316 2688 2702 2895 3088 3360 3840 3860 4053 4480 4632 5376 5404 5790 6176 6720 6755 7720 8106 8960 9264 10808 11580 12352 13440 13510 15440 16212 18528 20265 21616 23160 24704 26880 27020 30880 32424 37056 40530 43232 46320 49408 54040 61760 64848 74112 81060 86464 92640 108080 123520 129696 148224 162120 172928 185280 216160 247040 259392 324240 345856 370560 432320 518784 648480 741120 864640 1037568 1296960 1729280 2593920 5187840