Search a number
-
+
14199240 = 23351131347
BaseRepresentation
bin110110001010…
…100111001000
3222201101200210
4312022213020
512113333430
61224201120
7231456126
oct66124710
928641623
1014199240
118019110
1249091a0
132c32023
141c58916
1513a72b0
hexd8a9c8

14199240 has 128 divisors (see below), whose sum is σ = 48107520. Its totient is φ = 3321600.

The previous prime is 14199197. The next prime is 14199259. The reversal of 14199240 is 4299141.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14199198 and 14199207.

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 31 ways as a sum of consecutive naturals, for example, 40747 + ... + 41093.

It is an arithmetic number, because the mean of its divisors is an integer number (375840).

Almost surely, 214199240 is an apocalyptic number.

14199240 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 14199240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24053760).

14199240 is an abundant number, since it is smaller than the sum of its proper divisors (33908280).

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

14199240 is a wasteful number, since it uses less digits than its factorization.

14199240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 14199240 is about 3768.1878934045. The cubic root of 14199240 is about 242.1521707606.

Subtracting from 14199240 its reverse (4299141), we obtain a palindrome (9900099).

The spelling of 14199240 in words is "fourteen million, one hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 347 372 440 465 620 660 682 694 744 930 1023 1041 1240 1320 1364 1388 1705 1735 1860 2046 2082 2728 2776 3410 3470 3720 3817 4092 4164 5115 5205 6820 6940 7634 8184 8328 10230 10410 10757 11451 13640 13880 15268 19085 20460 20820 21514 22902 30536 32271 38170 40920 41640 43028 45804 53785 57255 64542 76340 86056 91608 107570 114510 118327 129084 152680 161355 215140 229020 236654 258168 322710 354981 430280 458040 473308 591635 645420 709962 946616 1183270 1290840 1419924 1774905 2366540 2839848 3549810 4733080 7099620 14199240