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14997136 = 2472113747
BaseRepresentation
bin111001001101…
…011010010000
31001012221012111
4321031122100
512314402021
61253235104
7241321300
oct71153220
931187174
1014997136
118513630
125032a94
13315125b
141dc5600
1514b38e1
hexe4d690

14997136 has 120 divisors (see below), whose sum is σ = 38676096. Its totient is φ = 5564160.

The previous prime is 14997121. The next prime is 14997139. The reversal of 14997136 is 63179941.

It is not an unprimeable number, because it can be changed into a prime (14997139) 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 23 ways as a sum of consecutive naturals, for example, 319065 + ... + 319111.

Almost surely, 214997136 is an apocalyptic number.

14997136 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 14997136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19338048).

14997136 is an abundant number, since it is smaller than the sum of its proper divisors (23678960).

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

14997136 is a wasteful number, since it uses less digits than its factorization.

14997136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its digits is 40824, while the sum is 40.

The square root of 14997136 is about 3872.6135877467. The cubic root of 14997136 is about 246.6055103642.

The spelling of 14997136 in words is "fourteen million, nine hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 47 49 56 74 77 88 94 98 112 148 154 176 188 196 259 296 308 329 376 392 407 517 518 539 592 616 658 752 784 814 1034 1036 1078 1232 1316 1628 1739 1813 2068 2072 2156 2303 2632 2849 3256 3478 3619 3626 4136 4144 4312 4606 5264 5698 6512 6956 7238 7252 8272 8624 9212 11396 12173 13912 14476 14504 18424 19129 19943 22792 24346 25333 27824 28952 29008 36848 38258 39886 45584 48692 50666 57904 76516 79772 85211 97384 101332 133903 153032 159544 170422 194768 202664 267806 306064 319088 340844 405328 535612 681688 937321 1071224 1363376 1874642 2142448 3749284 7498568 14997136