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51410106 = 23311235371
BaseRepresentation
bin1100010000011…
…1010010111010
310120201220102000
43010013102322
5101130110411
65033521430
71162656456
oct304072272
9116656360
1051410106
11270241a0
1215273276
13a8601a7
146b83666
1547a7956
hex31074ba

51410106 has 128 divisors (see below), whose sum is σ = 134369280. Its totient is φ = 14414400.

The previous prime is 51410087. The next prime is 51410113. The reversal of 51410106 is 60101415.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 724051 + ... + 724121.

It is an arithmetic number, because the mean of its divisors is an integer number (1049760).

Almost surely, 251410106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51410106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67184640).

51410106 is an abundant number, since it is smaller than the sum of its proper divisors (82959174).

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

51410106 is a wasteful number, since it uses less digits than its factorization.

51410106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51410106 is about 7170.0840999252. The cubic root of 51410106 is about 371.8343435156.

The spelling of 51410106 in words is "fifty-one million, four hundred ten thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 53 54 66 69 71 99 106 138 142 159 198 207 213 253 297 318 414 426 477 506 583 594 621 639 759 781 954 1166 1219 1242 1278 1431 1518 1562 1633 1749 1917 2277 2343 2438 2862 3266 3498 3657 3763 3834 4554 4686 4899 5247 6831 7029 7314 7526 9798 10494 10971 11289 13409 13662 14058 14697 15741 17963 21087 21942 22578 26818 29394 31482 32913 33867 35926 40227 41393 42174 44091 53889 65826 67734 80454 82786 86549 88182 101601 107778 120681 124179 161667 173098 203202 241362 248358 259647 323334 362043 372537 485001 519294 724086 745074 778941 952039 970002 1117611 1557882 1904078 2235222 2336823 2856117 4673646 5712234 8568351 17136702 25705053 51410106