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51412140 = 2232513127173
BaseRepresentation
bin1100010000011…
…1110010101100
310120202000012100
43010013302230
5101130142030
65033535100
71162665423
oct304076254
9116660170
1051412140
112702577a
1215274490
13a8610b0
146b842ba
1547a8360
hex3107cac

51412140 has 144 divisors (see below), whose sum is σ = 170247168. Its totient is φ = 12483072.

The previous prime is 51412117. The next prime is 51412147. The reversal of 51412140 is 4121415.

51412140 is a `hidden beast` number, since 514 + 12 + 140 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (51412147) 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, 297094 + ... + 297266.

It is an arithmetic number, because the mean of its divisors is an integer number (1182272).

Almost surely, 251412140 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 51412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85123584).

51412140 is an abundant number, since it is smaller than the sum of its proper divisors (118835028).

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

51412140 is a wasteful number, since it uses less digits than its factorization.

51412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51412140 is about 7170.2259378628. The cubic root of 51412140 is about 371.8392472277.

Adding to 51412140 its reverse (4121415), we get a palindrome (55533555).

The spelling of 51412140 in words is "fifty-one million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 127 130 156 173 180 195 234 254 260 346 381 390 468 508 519 585 635 692 762 780 865 1038 1143 1170 1270 1524 1557 1651 1730 1905 2076 2249 2286 2340 2540 2595 3114 3302 3460 3810 4498 4572 4953 5190 5715 6228 6604 6747 7620 7785 8255 8996 9906 10380 11245 11430 13494 14859 15570 16510 19812 20241 21971 22490 22860 24765 26988 29718 31140 33020 33735 40482 43942 44980 49530 59436 65913 67470 74295 80964 87884 99060 101205 109855 131826 134940 148590 197739 202410 219710 263652 285623 297180 329565 395478 404820 439420 571246 659130 790956 856869 988695 1142492 1318260 1428115 1713738 1977390 2570607 2856230 3427476 3954780 4284345 5141214 5712460 8568690 10282428 12853035 17137380 25706070 51412140