Search a number
-
+
14372640 = 253451109
BaseRepresentation
bin110110110100…
…111100100000
31000001012120000
4312310330200
512134411030
61232020000
7233110512
oct66647440
930035500
1014372640
118127417
124991600
132c92c29
141ca1bb2
1513dd860
hexdb4f20

14372640 has 120 divisors (see below), whose sum is σ = 50769180. Its totient is φ = 3829248.

The previous prime is 14372629. The next prime is 14372653. The reversal of 14372640 is 4627341.

14372640 is a `hidden beast` number, since 14 + 3 + 7 + 2 + 640 = 666.

14372640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12194064 + 2178576 = 3492^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12406 + ... + 13514.

Almost surely, 214372640 is an apocalyptic number.

14372640 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 14372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25384590).

14372640 is an abundant number, since it is smaller than the sum of its proper divisors (36396540).

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

14372640 is a wasteful number, since it uses less digits than its factorization.

14372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 14372640 is about 3791.1264816674. The cubic root of 14372640 is about 243.1338996837.

Adding to 14372640 its reverse (4627341), we get a palindrome (18999981).

The spelling of 14372640 in words is "fourteen million, three hundred seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1109 1296 1440 1620 2160 2218 2592 3240 3327 4320 4436 5545 6480 6654 8872 9981 11090 12960 13308 16635 17744 19962 22180 26616 29943 33270 35488 39924 44360 49905 53232 59886 66540 79848 88720 89829 99810 106464 119772 133080 149715 159696 177440 179658 199620 239544 266160 299430 319392 359316 399240 449145 479088 532320 598860 718632 798480 898290 958176 1197720 1437264 1596960 1796580 2395440 2874528 3593160 4790880 7186320 14372640