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13981464 = 2333721321
BaseRepresentation
bin110101010101…
…011100011000
3222022022222000
4311111130120
512034401324
61215401000
7226561200
oct65253430
928268860
1013981464
11798a532
124823160
132b86b73
141bdd400
1513629c9
hexd55718

13981464 has 96 divisors (see below), whose sum is σ = 45212400. Its totient is φ = 3991680.

The previous prime is 13981459. The next prime is 13981469. The reversal of 13981464 is 46418931.

13981464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13981459) and next prime (13981469).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13981469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9924 + ... + 11244.

Almost surely, 213981464 is an apocalyptic number.

13981464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13981464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22606200).

13981464 is an abundant number, since it is smaller than the sum of its proper divisors (31230936).

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

13981464 is a wasteful number, since it uses less digits than its factorization.

13981464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1333 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 13981464 is about 3739.1795891612. The cubic root of 13981464 is about 240.9078118275.

The spelling of 13981464 in words is "thirteen million, nine hundred eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1321 1323 1512 1764 2642 2646 3528 3963 5284 5292 7926 9247 10568 10584 11889 15852 18494 23778 27741 31704 35667 36988 47556 55482 64729 71334 73976 83223 95112 110964 129458 142668 166446 194187 221928 249669 258916 285336 332892 388374 499338 517832 582561 665784 776748 998676 1165122 1553496 1747683 1997352 2330244 3495366 4660488 6990732 13981464