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12194064 = 2434972
BaseRepresentation
bin101110100001…
…000100010000
3211221112010000
4232201010100
511110202224
61113210000
7205435131
oct56410420
924845100
1012194064
116979643
124100900
1326ac42c
141895c88
15110d0c9
hexba1110

12194064 has 75 divisors (see below), whose sum is σ = 35660757. Its totient is φ = 4022784.

The previous prime is 12194059. The next prime is 12194089. The reversal of 12194064 is 46049121.

The square root of 12194064 is 3492.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5475600 + 6718464 = 2340^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 125664 + ... + 125760.

Almost surely, 212194064 is an apocalyptic number.

12194064 is the 3492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12194064

12194064 is an abundant number, since it is smaller than the sum of its proper divisors (23466693).

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

12194064 is an frugal number, since it uses more digits than its factorization.

12194064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 12194064 is about 230.1704093126.

The spelling of 12194064 in words is "twelve million, one hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 144 162 194 216 291 324 388 432 582 648 776 873 1164 1296 1552 1746 2328 2619 3492 4656 5238 6984 7857 9409 10476 13968 15714 18818 20952 28227 31428 37636 41904 56454 62856 75272 84681 112908 125712 150544 169362 225816 254043 338724 451632 508086 677448 762129 1016172 1354896 1524258 2032344 3048516 4064688 6097032 12194064