Search a number
-
+
5236140 = 22357213137
BaseRepresentation
bin10011111110010110101100
3100212000122010
4103332112230
52320024030
6304121220
762335500
oct23762654
910760563
105236140
112a56a98
121906210
131114410
149a4300
156d66b0
hex4fe5ac

5236140 has 144 divisors (see below), whose sum is σ = 18500832. Its totient is φ = 1096704.

The previous prime is 5236139. The next prime is 5236141. The reversal of 5236140 is 416325.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5236139) and next prime (5236141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5236141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38152 + ... + 38288.

It is an arithmetic number, because the mean of its divisors is an integer number (128478).

Almost surely, 25236140 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 5236140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250416).

5236140 is an abundant number, since it is smaller than the sum of its proper divisors (13264692).

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

5236140 is a wasteful number, since it uses less digits than its factorization.

5236140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 5236140 is about 2288.2613487100. The cubic root of 5236140 is about 173.6482522824.

The spelling of 5236140 in words is "five million, two hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 137 140 147 156 182 195 196 210 245 260 273 274 294 364 390 411 420 455 490 546 548 588 637 685 735 780 822 910 959 980 1092 1274 1365 1370 1470 1644 1781 1820 1911 1918 2055 2548 2730 2740 2877 2940 3185 3562 3822 3836 4110 4795 5343 5460 5754 6370 6713 7124 7644 8220 8905 9555 9590 10686 11508 12467 12740 13426 14385 17810 19110 19180 20139 21372 24934 26715 26852 28770 33565 35620 37401 38220 40278 49868 53430 57540 62335 67130 74802 80556 87269 100695 106860 124670 134260 149604 174538 187005 201390 249340 261807 349076 374010 402780 436345 523614 748020 872690 1047228 1309035 1745380 2618070 5236140