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14666640 = 2435232657
BaseRepresentation
bin110111111100…
…101110010000
31000121010211220
4313330232100
512223313030
61242205040
7235443612
oct67745620
930533756
1014666640
11830829a
124ab3780
1330669b1
141d3adb2
15144aa10
hexdfcb90

14666640 has 80 divisors (see below), whose sum is σ = 47461248. Its totient is φ = 3739648.

The previous prime is 14666623. The next prime is 14666647. The reversal of 14666640 is 4666641.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×146666402 = 430220657779200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14666647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4192 + ... + 6848.

Almost surely, 214666640 is an apocalyptic number.

14666640 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 14666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23730624).

14666640 is an abundant number, since it is smaller than the sum of its proper divisors (32794608).

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

14666640 is a wasteful number, since it uses less digits than its factorization.

14666640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 14666640 is about 3829.7049494707. The cubic root of 14666640 is about 244.7805337163.

Subtracting from 14666640 its reverse (4666641), we obtain a palindrome (9999999).

The spelling of 14666640 in words is "fourteen million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2657 2760 5314 5520 7971 10628 13285 15942 21256 26570 31884 39855 42512 53140 61111 63768 79710 106280 122222 127536 159420 183333 212560 244444 305555 318840 366666 488888 611110 637680 733332 916665 977776 1222220 1466664 1833330 2444440 2933328 3666660 4888880 7333320 14666640