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14984112 = 24311133759
BaseRepresentation
bin111001001010…
…001110110000
31001012021100010
4321022032300
512313442422
61253054520
7241235313
oct71121660
931167303
1014984112
118504870
125027440
133148350
141dc097a
1514aeb0c
hexe4a3b0

14984112 has 160 divisors (see below), whose sum is σ = 47496960. Its totient is φ = 4008960.

The previous prime is 14984111. The next prime is 14984119. The reversal of 14984112 is 21148941.

It is a super-2 number, since 2×149841122 = 449047224857088, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14984112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14984111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253939 + ... + 253997.

It is an arithmetic number, because the mean of its divisors is an integer number (296856).

Almost surely, 214984112 is an apocalyptic number.

14984112 is a gapful number since it is divisible by the number (12) 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 14984112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

14984112 is an abundant number, since it is smaller than the sum of its proper divisors (32512848).

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

14984112 is a wasteful number, since it uses less digits than its factorization.

14984112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 14984112 is about 3870.9316707997. The cubic root of 14984112 is about 246.5341029445.

The spelling of 14984112 in words is "fourteen million, nine hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 37 39 44 48 52 59 66 74 78 88 104 111 118 132 143 148 156 176 177 208 222 236 264 286 296 312 354 407 429 444 472 481 528 572 592 624 649 708 767 814 858 888 944 962 1144 1221 1298 1416 1443 1534 1628 1716 1776 1924 1947 2183 2288 2301 2442 2596 2832 2886 3068 3256 3432 3848 3894 4366 4602 4884 5192 5291 5772 6136 6512 6549 6864 7696 7788 8437 8732 9204 9768 10384 10582 11544 12272 13098 15576 15873 16874 17464 18408 19536 21164 23088 24013 25311 26196 28379 31152 31746 33748 34928 36816 42328 48026 50622 52392 56758 63492 67496 72039 84656 85137 96052 101244 104784 113516 126984 134992 144078 170274 192104 202488 227032 253968 288156 312169 340548 384208 404976 454064 576312 624338 681096 936507 1152624 1248676 1362192 1873014 2497352 3746028 4994704 7492056 14984112