Search a number
-
+
5101272 = 23331119113
BaseRepresentation
bin10011011101011011011000
3100121011122000
4103131123120
52301220042
6301201000
761234341
oct23353330
910534560
105101272
112974730
121860160
131097c07
1496b0c8
156ab74c
hex4dd6d8

5101272 has 128 divisors (see below), whose sum is σ = 16416000. Its totient is φ = 1451520.

The previous prime is 5101259. The next prime is 5101273. The reversal of 5101272 is 2721015.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5101273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45088 + ... + 45200.

It is an arithmetic number, because the mean of its divisors is an integer number (128250).

Almost surely, 25101272 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 5101272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8208000).

5101272 is an abundant number, since it is smaller than the sum of its proper divisors (11314728).

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

5101272 is a wasteful number, since it uses less digits than its factorization.

5101272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 5101272 is about 2258.5995661029. The cubic root of 5101272 is about 172.1443713039.

Adding to 5101272 its reverse (2721015), we get a palindrome (7822287).

The spelling of 5101272 in words is "five million, one hundred one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 27 33 36 38 44 54 57 66 72 76 88 99 108 113 114 132 152 171 198 209 216 226 228 264 297 339 342 396 418 452 456 513 594 627 678 684 792 836 904 1017 1026 1188 1243 1254 1356 1368 1672 1881 2034 2052 2147 2376 2486 2508 2712 3051 3729 3762 4068 4104 4294 4972 5016 5643 6102 6441 7458 7524 8136 8588 9944 11187 11286 12204 12882 14916 15048 17176 19323 22374 22572 23617 24408 25764 29832 33561 38646 44748 45144 47234 51528 57969 67122 70851 77292 89496 94468 115938 134244 141702 154584 188936 212553 231876 268488 283404 425106 463752 566808 637659 850212 1275318 1700424 2550636 5101272