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12194016 = 253373433
BaseRepresentation
bin101110100001…
…000011100000
3211221112001020
4232201003200
511110202031
61113205440
7205435032
oct56410340
924845036
1012194016
1169795aa
124100880
1326ac3c3
141895c52
15110d096
hexba10e0

12194016 has 48 divisors (see below), whose sum is σ = 32883984. Its totient is φ = 3953664.

The previous prime is 12194003. The next prime is 12194027. The reversal of 12194016 is 61049121.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

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, 1836 + ... + 5268.

It is an arithmetic number, because the mean of its divisors is an integer number (685083).

Almost surely, 212194016 is an apocalyptic number.

12194016 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 12194016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16441992).

12194016 is an abundant number, since it is smaller than the sum of its proper divisors (20689968).

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

12194016 is a wasteful number, since it uses less digits than its factorization.

12194016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 12194016 is about 3491.9931271410. The cubic root of 12194016 is about 230.1701073024.

The spelling of 12194016 in words is "twelve million, one hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3433 3552 6866 10299 13732 20598 27464 41196 54928 82392 109856 127021 164784 254042 329568 381063 508084 762126 1016168 1524252 2032336 3048504 4064672 6097008 12194016