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14410396 = 22711135961
BaseRepresentation
bin110110111110…
…001010011100
31000010010100101
4312332022130
512142113041
61232510444
7233325550
oct66761234
930103311
1014410396
118152820
1249ab424
132ca7180
141cb1860
1513e9b31
hexdbe29c

14410396 has 96 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 5011200.

The previous prime is 14410369. The next prime is 14410411. The reversal of 14410396 is 69301441.

14410396 is a nontrivial binomial coefficient, being equal to C(5369, 2).

It is a super-3 number, since 3×144103963 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236206 + ... + 236266.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 214410396 is an apocalyptic number.

14410396 is the 5368-th triangular number.

14410396 is the 1790-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14410396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

14410396 is an abundant number, since it is smaller than the sum of its proper divisors (20587364).

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

14410396 is a wasteful number, since it uses less digits than its factorization.

14410396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 14410396 is about 3796.1027383357. The cubic root of 14410396 is about 243.3466125653.

The spelling of 14410396 in words is "fourteen million, four hundred ten thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 59 61 77 91 118 122 143 154 182 236 244 286 308 364 413 427 572 649 671 767 793 826 854 1001 1298 1342 1534 1586 1652 1708 2002 2596 2684 3068 3172 3599 4004 4543 4697 5369 5551 7198 8437 8723 9086 9394 10738 11102 14396 16874 17446 18172 18788 21476 22204 25193 33748 34892 39589 46787 50386 59059 61061 79178 93574 100772 118118 122122 158356 187148 236236 244244 277123 327509 514657 554246 655018 1029314 1108492 1310036 2058628 3602599 7205198 14410396