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14664420 = 22325257317
BaseRepresentation
bin110111111100…
…001011100100
31000121000210200
4313330023210
512223230140
61242150500
7235434261
oct67741344
930530720
1014664420
118306661
124ab2430
133065994
141d3a268
15144a030
hexdfc2e4

14664420 has 72 divisors (see below), whose sum is σ = 44796024. Its totient is φ = 3883008.

The previous prime is 14664413. The next prime is 14664449. The reversal of 14664420 is 2446641.

14664420 is a `hidden beast` number, since 14 + 6 + 644 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 12659364 = 1416^2 + 3558^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46102 + ... + 46418.

It is an arithmetic number, because the mean of its divisors is an integer number (622167).

Almost surely, 214664420 is an apocalyptic number.

14664420 is a gapful number since it is divisible by the number (10) 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 14664420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22398012).

14664420 is an abundant number, since it is smaller than the sum of its proper divisors (30131604).

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

14664420 is a wasteful number, since it uses less digits than its factorization.

14664420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 14664420 is about 3829.4150989414. The cubic root of 14664420 is about 244.7681827801.

It can be divided in two parts, 1466 and 4420, that added together give a triangular number (5886 = T108).

The spelling of 14664420 in words is "fourteen million, six hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 317 514 634 771 951 1028 1268 1285 1542 1585 1902 2313 2570 2853 3084 3170 3804 3855 4626 4755 5140 5706 6340 7710 9252 9510 11412 11565 14265 15420 19020 23130 28530 46260 57060 81469 162938 244407 325876 407345 488814 733221 814690 977628 1222035 1466442 1629380 2444070 2932884 3666105 4888140 7332210 14664420