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5112072 = 23347323
BaseRepresentation
bin10011100000000100001000
3100121201110000
4103200010020
52302041242
6301323000
761311000
oct23400410
910551400
105112072
112981859
121866460
13109cac4
14971000
156aea4c
hex4e0108

5112072 has 160 divisors (see below), whose sum is σ = 17424000. Its totient is φ = 1397088.

The previous prime is 5112067. The next prime is 5112073. The reversal of 5112072 is 2702115.

It is a super-2 number, since 2×51120722 = 52266560266368, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5112073) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222253 + ... + 222275.

It is an arithmetic number, because the mean of its divisors is an integer number (108900).

Almost surely, 25112072 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 5112072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8712000).

5112072 is an abundant number, since it is smaller than the sum of its proper divisors (12311928).

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

5112072 is a wasteful number, since it uses less digits than its factorization.

5112072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

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

The square root of 5112072 is about 2260.9891640607. The cubic root of 5112072 is about 172.2657690475.

Adding to 5112072 its reverse (2702115), we get a palindrome (7814187).

The spelling of 5112072 in words is "five million, one hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 49 54 56 63 69 72 81 84 92 98 108 126 138 147 161 162 168 184 189 196 207 216 252 276 294 322 324 343 378 392 414 441 483 504 552 567 588 621 644 648 686 756 828 882 966 1029 1127 1134 1176 1242 1288 1323 1372 1449 1512 1656 1764 1863 1932 2058 2254 2268 2484 2646 2744 2898 3087 3381 3528 3726 3864 3969 4116 4347 4508 4536 4968 5292 5796 6174 6762 7452 7889 7938 8232 8694 9016 9261 10143 10584 11592 12348 13041 13524 14904 15778 15876 17388 18522 20286 23667 24696 26082 27048 27783 30429 31556 31752 34776 37044 40572 47334 52164 55566 60858 63112 71001 74088 81144 91287 94668 104328 111132 121716 142002 182574 189336 213003 222264 243432 284004 365148 426006 568008 639009 730296 852012 1278018 1704024 2556036 5112072