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14372240 = 2452373107
BaseRepresentation
bin110110110100…
…110110010000
31000001012000012
4312310312100
512134402430
61232014052
7233106401
oct66646620
930035005
1014372240
118127093
124991328
132c929ac
141ca19a8
1513dd695
hexdb4d90

14372240 has 80 divisors (see below), whose sum is σ = 35676288. Its totient is φ = 5372928.

The previous prime is 14372231. The next prime is 14372257. The reversal of 14372240 is 4227341.

14372240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×143722402 = 413122565235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 134267 + ... + 134373.

Almost surely, 214372240 is an apocalyptic number.

14372240 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 14372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838144).

14372240 is an abundant number, since it is smaller than the sum of its proper divisors (21304048).

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

14372240 is a wasteful number, since it uses less digits than its factorization.

14372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 14372240 is about 3791.0737265318. The cubic root of 14372240 is about 243.1316441375.

Adding to 14372240 its reverse (4227341), we get a palindrome (18599581).

The spelling of 14372240 in words is "fourteen million, three hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 73 80 92 107 115 146 184 214 230 292 365 368 428 460 535 584 730 856 920 1070 1168 1460 1679 1712 1840 2140 2461 2920 3358 4280 4922 5840 6716 7811 8395 8560 9844 12305 13432 15622 16790 19688 24610 26864 31244 33580 39055 39376 49220 62488 67160 78110 98440 124976 134320 156220 179653 196880 312440 359306 624880 718612 898265 1437224 1796530 2874448 3593060 7186120 14372240