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13747146 = 23721923107
BaseRepresentation
bin110100011100…
…001111001010
3221212102112120
4310130033022
512004402041
61210352110
7224564100
oct64341712
927772476
1013747146
11783a486
12472b636
132b0430a
141b7bc70
151318366
hexd1c3ca

13747146 has 96 divisors (see below), whose sum is σ = 35458560. Its totient is φ = 3525984.

The previous prime is 13747121. The next prime is 13747147. The reversal of 13747146 is 64174731.

13747146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

13747146 is a nontrivial binomial coefficient, being equal to C(5244, 2).

Its product of digits (14112) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (13747147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128425 + ... + 128531.

It is an arithmetic number, because the mean of its divisors is an integer number (369360).

Almost surely, 213747146 is an apocalyptic number.

13747146 is the 5243-rd triangular number and also the 2622-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13747146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729280).

13747146 is an abundant number, since it is smaller than the sum of its proper divisors (21711414).

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

13747146 is a wasteful number, since it uses less digits than its factorization.

13747146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 13747146 is about 3707.7143902949. The cubic root of 13747146 is about 239.5544162974.

The spelling of 13747146 in words is "thirteen million, seven hundred forty-seven thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 49 57 69 98 107 114 133 138 147 161 214 266 294 321 322 399 437 483 642 749 798 874 931 966 1127 1311 1498 1862 2033 2247 2254 2461 2622 2793 3059 3381 4066 4494 4922 5243 5586 6099 6118 6762 7383 9177 10486 12198 14231 14766 15729 17227 18354 21413 28462 31458 34454 42693 42826 46759 51681 64239 85386 93518 99617 103362 120589 128478 140277 199234 241178 280554 298851 327313 361767 597702 654626 723534 981939 1963878 2291191 4582382 6873573 13747146