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14964894 = 2327219247
BaseRepresentation
bin111001000101…
…100010011110
31001011021222100
4321011202132
512312334034
61252425530
7241125300
oct71054236
931137870
1014964894
1184a138a
1250182a6
13313c689
141db7970
1514a9099
hexe4589e

14964894 has 108 divisors (see below), whose sum is σ = 40654224. Its totient is φ = 3964464.

The previous prime is 14964893. The next prime is 14964907. The reversal of 14964894 is 49846941.

14964894 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

14964894 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14964893) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 318379 + ... + 318425.

It is an arithmetic number, because the mean of its divisors is an integer number (376428).

Almost surely, 214964894 is an apocalyptic number.

14964894 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14964894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20327112).

14964894 is an abundant number, since it is smaller than the sum of its proper divisors (25689330).

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

14964894 is a wasteful number, since it uses less digits than its factorization.

14964894 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 14964894 is about 3868.4485262182. The cubic root of 14964894 is about 246.4286597173.

The spelling of 14964894 in words is "fourteen million, nine hundred sixty-four thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 47 49 57 63 94 98 114 126 133 141 147 171 266 282 294 329 342 361 399 423 441 658 722 798 846 882 893 931 987 1083 1197 1786 1862 1974 2166 2303 2394 2527 2679 2793 2961 3249 4606 5054 5358 5586 5922 6251 6498 6909 7581 8037 8379 12502 13818 15162 16074 16758 16967 17689 18753 20727 22743 33934 35378 37506 41454 43757 45486 50901 53067 56259 87514 101802 106134 112518 118769 131271 152703 159201 237538 262542 305406 318402 356307 393813 712614 787626 831383 1068921 1662766 2137842 2494149 4988298 7482447 14964894