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14246016 = 273231613
BaseRepresentation
bin110110010110…
…000010000000
3222210202212020
4312112002000
512121333031
61225201440
7232042401
oct66260200
928722766
1014246016
118050274
124930280
132c4a3c5
141c6b9a8
1513b6096
hexd96080

14246016 has 64 divisors (see below), whose sum is σ = 39510720. Its totient is φ = 4539392.

The previous prime is 14246003. The next prime is 14246027. The reversal of 14246016 is 61064241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8026 + ... + 9638.

It is an arithmetic number, because the mean of its divisors is an integer number (617355).

Almost surely, 214246016 is an apocalyptic number.

14246016 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 14246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19755360).

14246016 is an abundant number, since it is smaller than the sum of its proper divisors (25264704).

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

14246016 is a wasteful number, since it uses less digits than its factorization.

14246016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14246016 is about 3774.3894870562. The cubic root of 14246016 is about 242.4177834441.

The spelling of 14246016 in words is "fourteen million, two hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 1613 2208 2944 3226 4416 4839 6452 8832 9678 12904 19356 25808 37099 38712 51616 74198 77424 103232 111297 148396 154848 206464 222594 296792 309696 445188 593584 619392 890376 1187168 1780752 2374336 3561504 4748672 7123008 14246016