Search a number
-
+
5256540 = 22325192953
BaseRepresentation
bin10100000011010101011100
3100220001121200
4110003111130
52321202130
6304355500
762452122
oct24032534
910801550
105256540
112a70353
121915b90
1311207a3
149ab912
156dc760
hex50355c

5256540 has 144 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1257984.

The previous prime is 5256509. The next prime is 5256547. The reversal of 5256540 is 456525.

5256540 is a `hidden beast` number, since 5 + 2 + 5 + 654 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5256547) 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, 99154 + ... + 99206.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 25256540 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 5256540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

5256540 is an abundant number, since it is smaller than the sum of its proper divisors (12433860).

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

5256540 is a wasteful number, since it uses less digits than its factorization.

5256540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5256540 is about 2292.7145483029. The cubic root of 5256540 is about 173.8734712319.

The spelling of 5256540 in words is "five million, two hundred fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 53 57 58 60 76 87 90 95 106 114 116 145 159 171 174 180 190 212 228 261 265 285 290 318 342 348 380 435 477 522 530 551 570 580 636 684 795 855 870 954 1007 1044 1060 1102 1140 1305 1537 1590 1653 1710 1740 1908 2014 2204 2385 2610 2755 3021 3074 3180 3306 3420 4028 4611 4770 4959 5035 5220 5510 6042 6148 6612 7685 8265 9063 9222 9540 9918 10070 11020 12084 13833 15105 15370 16530 18126 18444 19836 20140 23055 24795 27666 29203 30210 30740 33060 36252 45315 46110 49590 55332 58406 60420 69165 87609 90630 92220 99180 116812 138330 146015 175218 181260 262827 276660 292030 350436 438045 525654 584060 876090 1051308 1314135 1752180 2628270 5256540