Search a number
-
+
14947704 = 23323137181
BaseRepresentation
bin111001000001…
…010101111000
31001010102101200
4321001111320
512311311304
61252214200
7241024212
oct71012570
931112350
1014947704
11848a482
12500a360
1331348c5
141db15b2
1514a3e39
hexe41578

14947704 has 96 divisors (see below), whose sum is σ = 43155840. Its totient is φ = 4665600.

The previous prime is 14947693. The next prime is 14947717. The reversal of 14947704 is 40774941.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82494 + ... + 82674.

It is an arithmetic number, because the mean of its divisors is an integer number (449540).

Almost surely, 214947704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14947704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577920).

14947704 is an abundant number, since it is smaller than the sum of its proper divisors (28208136).

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

14947704 is a wasteful number, since it uses less digits than its factorization.

14947704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 14947704 is about 3866.2260668512. The cubic root of 14947704 is about 246.3342669853.

It can be divided in two parts, 14947 and 704, that added together give a palindrome (15651).

The spelling of 14947704 in words is "fourteen million, nine hundred forty-seven thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 181 186 222 248 279 296 333 362 372 444 543 558 666 724 744 888 1086 1116 1147 1332 1448 1629 2172 2232 2294 2664 3258 3441 4344 4588 5611 6516 6697 6882 9176 10323 11222 13032 13394 13764 16833 20091 20646 22444 26788 27528 33666 40182 41292 44888 50499 53576 60273 67332 80364 82584 100998 120546 134664 160728 201996 207607 241092 403992 415214 482184 622821 830428 1245642 1660856 1868463 2491284 3736926 4982568 7473852 14947704