Search a number
-
+
14757972 = 2231773991
BaseRepresentation
bin111000010011…
…000001010100
31000202210010120
4320103001110
512234223342
61244151540
7236304105
oct70230124
930683116
1014757972
11836a979
124b385b0
133099438
141d623ac
151467aec
hexe13054

14757972 has 48 divisors (see below), whose sum is σ = 36997632. Its totient is φ = 4561920.

The previous prime is 14757961. The next prime is 14757979. The reversal of 14757972 is 27975741.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14757979) 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, 14397 + ... + 15387.

It is an arithmetic number, because the mean of its divisors is an integer number (770784).

Almost surely, 214757972 is an apocalyptic number.

14757972 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 14757972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498816).

14757972 is an abundant number, since it is smaller than the sum of its proper divisors (22239660).

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

14757972 is a wasteful number, since it uses less digits than its factorization.

14757972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1086 counting only the distinct ones).

The product of its digits is 123480, while the sum is 42.

The square root of 14757972 is about 3841.6105997355. The cubic root of 14757972 is about 245.2875812275.

The spelling of 14757972 in words is "fourteen million, seven hundred fifty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 292 438 876 991 1241 1982 2482 2973 3723 3964 4964 5946 7446 11892 14892 16847 33694 50541 67388 72343 101082 144686 202164 217029 289372 434058 868116 1229831 2459662 3689493 4919324 7378986 14757972