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14946714 = 2334143157
BaseRepresentation
bin111001000001…
…000110011010
31001010101001000
4321001012122
512311243324
61252205430
7241021266
oct71010632
931111030
1014946714
118489762
125009876
133134313
141db10a6
1514a39c9
hexe4119a

14946714 has 64 divisors (see below), whose sum is σ = 35038080. Its totient is φ = 4717440.

The previous prime is 14946709. The next prime is 14946719. The reversal of 14946714 is 41764941.

14946714 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (14946709) and next prime (14946719).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (24192) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (14946719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95124 + ... + 95280.

It is an arithmetic number, because the mean of its divisors is an integer number (547470).

Almost surely, 214946714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14946714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519040).

14946714 is an abundant number, since it is smaller than the sum of its proper divisors (20091366).

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

14946714 is a wasteful number, since it uses less digits than its factorization.

14946714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 14946714 is about 3866.0980329009. The cubic root of 14946714 is about 246.3288285512.

The spelling of 14946714 in words is "fourteen million, nine hundred forty-six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 43 54 82 86 123 129 157 246 258 314 369 387 471 738 774 942 1107 1161 1413 1763 2214 2322 2826 3526 4239 5289 6437 6751 8478 10578 12874 13502 15867 19311 20253 31734 38622 40506 47601 57933 60759 95202 115866 121518 173799 182277 276791 347598 364554 553582 830373 1660746 2491119 4982238 7473357 14946714