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14705964 = 2232713672
BaseRepresentation
bin111000000110…
…010100101100
31000200010210100
4320012110230
512231042324
61243111100
7235666350
oct70062454
930603710
1014705964
118334899
124b12490
13307b870
141d4b460
1514574c9
hexe0652c

14705964 has 108 divisors (see below), whose sum is σ = 46444944. Its totient is φ = 3820608.

The previous prime is 14705959. The next prime is 14705989. The reversal of 14705964 is 46950741.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219459 + ... + 219525.

Almost surely, 214705964 is an apocalyptic number.

14705964 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 14705964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23222472).

14705964 is an abundant number, since it is smaller than the sum of its proper divisors (31738980).

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

14705964 is a wasteful number, since it uses less digits than its factorization.

14705964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 14705964 is about 3834.8355896961. The cubic root of 14705964 is about 244.9991059248. Note that the first 3 decimals are identical.

The spelling of 14705964 in words is "fourteen million, seven hundred five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 67 78 84 91 117 126 134 156 182 201 234 252 268 273 364 402 468 469 546 603 804 819 871 938 1092 1206 1407 1638 1742 1876 2412 2613 2814 3276 3484 4221 4489 5226 5628 6097 7839 8442 8978 10452 12194 13467 15678 16884 17956 18291 24388 26934 31356 31423 36582 40401 53868 54873 58357 62846 73164 80802 94269 109746 116714 125692 161604 175071 188538 219492 233428 282807 350142 377076 408499 525213 565614 700284 816998 1050426 1131228 1225497 1633996 2100852 2450994 3676491 4901988 7352982 14705964