Search a number
-
+
51241260 = 22357229601
BaseRepresentation
bin1100001101111…
…0000100101100
310120102022210110
43003132010230
5101104210020
65030140020
71161354300
oct303360454
9116368713
1051241260
1126a19354
12151b1610
13a801395
146b3bd00
1547728e0
hex30de12c

51241260 has 144 divisors (see below), whose sum is σ = 172942560. Its totient is φ = 11289600.

The previous prime is 51241259. The next prime is 51241261. The reversal of 51241260 is 6214215.

It is an interprime number because it is at equal distance from previous prime (51241259) and next prime (51241261).

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

It is not an unprimeable number, because it can be changed into a prime (51241261) 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, 84960 + ... + 85560.

It is an arithmetic number, because the mean of its divisors is an integer number (1200990).

Almost surely, 251241260 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 51241260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86471280).

51241260 is an abundant number, since it is smaller than the sum of its proper divisors (121701300).

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

51241260 is a wasteful number, since it uses less digits than its factorization.

51241260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51241260 is about 7158.3000775324. The cubic root of 51241260 is about 371.4268257174.

Adding to 51241260 its reverse (6214215), we get a palindrome (57455475).

The spelling of 51241260 in words is "fifty-one million, two hundred forty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 49 58 60 70 84 87 98 105 116 140 145 147 174 196 203 210 245 290 294 348 406 420 435 490 580 588 601 609 735 812 870 980 1015 1202 1218 1421 1470 1740 1803 2030 2404 2436 2842 2940 3005 3045 3606 4060 4207 4263 5684 6010 6090 7105 7212 8414 8526 9015 12020 12180 12621 14210 16828 17052 17429 18030 21035 21315 25242 28420 29449 34858 36060 42070 42630 50484 52287 58898 63105 69716 84140 85260 87145 88347 104574 117796 122003 126210 147245 174290 176694 209148 244006 252420 261435 294490 348580 353388 366009 441735 488012 522870 588980 610015 732018 854021 883470 1045740 1220030 1464036 1708042 1766940 1830045 2440060 2562063 3416084 3660090 4270105 5124126 7320180 8540210 10248252 12810315 17080420 25620630 51241260