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14072016 = 2437231193
BaseRepresentation
bin110101101011…
…100011010000
3222110221011210
4311223203100
512100301031
61221340120
7230416200
oct65534320
928427153
1014072016
117a41572
124867640
132bb914a
141c24400
15137e746
hexd6b8d0

14072016 has 120 divisors (see below), whose sum is σ = 43878144. Its totient is φ = 3870720.

The previous prime is 14072011. The next prime is 14072017. The reversal of 14072016 is 61027041.

14072016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14071983 and 14072001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14072011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72816 + ... + 73008.

Almost surely, 214072016 is an apocalyptic number.

14072016 is a gapful number since it is divisible by the number (16) 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 14072016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939072).

14072016 is an abundant number, since it is smaller than the sum of its proper divisors (29806128).

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

14072016 is a wasteful number, since it uses less digits than its factorization.

14072016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 14072016 is about 3751.2685854255. The cubic root of 14072016 is about 241.4267788943.

Adding to 14072016 its reverse (61027041), we get a palindrome (75099057).

The spelling of 14072016 in words is "fourteen million, seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 49 56 62 84 93 98 112 124 147 168 186 193 196 217 248 294 336 372 386 392 434 496 579 588 651 744 772 784 868 1158 1176 1302 1351 1488 1519 1544 1736 2316 2352 2604 2702 3038 3088 3472 4053 4557 4632 5208 5404 5983 6076 8106 9114 9264 9457 10416 10808 11966 12152 16212 17949 18228 18914 21616 23932 24304 28371 32424 35898 36456 37828 41881 47864 56742 64848 71796 72912 75656 83762 95728 113484 125643 143592 151312 167524 226968 251286 287184 293167 335048 453936 502572 586334 670096 879501 1005144 1172668 1759002 2010288 2345336 3518004 4690672 7036008 14072016