Search a number
-
+
14656992 = 2537171283
BaseRepresentation
bin110111111010…
…010111100000
31000120122121120
4313322113200
512223010432
61242052240
7235403520
oct67722740
930518546
1014656992
118301019
124aaa080
13306249c
141d37680
151447c2c
hexdfa5e0

14656992 has 96 divisors (see below), whose sum is σ = 46593792. Its totient is φ = 3938304.

The previous prime is 14656979. The next prime is 14657029. The reversal of 14656992 is 29965641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10783 + ... + 12065.

It is an arithmetic number, because the mean of its divisors is an integer number (485352).

Almost surely, 214656992 is an apocalyptic number.

14656992 is a gapful number since it is divisible by the number (12) 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 14656992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23296896).

14656992 is an abundant number, since it is smaller than the sum of its proper divisors (31936800).

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

14656992 is a wasteful number, since it uses less digits than its factorization.

14656992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1312 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 14656992 is about 3828.4451151871. The cubic root of 14656992 is about 244.7268481500.

The spelling of 14656992 in words is "fourteen million, six hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1283 1428 1632 1904 2566 2856 3808 3849 5132 5712 7698 8981 10264 11424 15396 17962 20528 21811 26943 30792 35924 41056 43622 53886 61584 65433 71848 87244 107772 123168 130866 143696 152677 174488 215544 261732 287392 305354 348976 431088 458031 523464 610708 697952 862176 916062 1046928 1221416 1832124 2093856 2442832 3664248 4885664 7328496 14656992