Search a number
-
+
51230124 = 223311291487
BaseRepresentation
bin1100001101101…
…1010110101100
310120101202112000
43003123112230
5101103330444
65030012300
71161306651
oct303332654
9116352460
1051230124
1126a10a50
12151a7090
13a7c92aa
146b37c28
15476e469
hex30db5ac

51230124 has 96 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 14978880.

The previous prime is 51230119. The next prime is 51230147. The reversal of 51230124 is 42103215.

51230124 is a `hidden beast` number, since 512 + 30 + 124 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51230097 and 51230106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33709 + ... + 35195.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 251230124 is an apocalyptic number.

51230124 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51230124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

51230124 is an abundant number, since it is smaller than the sum of its proper divisors (98760276).

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

51230124 is a wasteful number, since it uses less digits than its factorization.

51230124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51230124 is about 7157.5221969617. The cubic root of 51230124 is about 371.3999170061.

Adding to 51230124 its reverse (42103215), we get a palindrome (93333339).

The spelling of 51230124 in words is "fifty-one million, two hundred thirty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1487 1566 1914 2871 2974 3132 3828 4461 5742 5948 8613 8922 11484 13383 16357 17226 17844 26766 32714 34452 40149 43123 49071 53532 65428 80298 86246 98142 129369 147213 160596 172492 196284 258738 294426 388107 441639 474353 517476 588852 776214 883278 948706 1164321 1423059 1552428 1766556 1897412 2328642 2846118 4269177 4657284 5692236 8538354 12807531 17076708 25615062 51230124