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14148240 = 2435167353
BaseRepresentation
bin110101111110…
…001010010000
3222121210201220
4311332022100
512110220430
61223125040
7231154341
oct65761220
928553656
1014148240
117a93867
1248a3780
132c14a52
141c440c8
151397110
hexd7e290

14148240 has 80 divisors (see below), whose sum is σ = 44247168. Its totient is φ = 3739648.

The previous prime is 14148221. The next prime is 14148257. The reversal of 14148240 is 4284141.

14148240 is digitally balanced in base 2 and base 4, because in such bases 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 Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14148240.

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, 39904 + ... + 40256.

Almost surely, 214148240 is an apocalyptic number.

14148240 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 14148240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22123584).

14148240 is an abundant number, since it is smaller than the sum of its proper divisors (30098928).

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

14148240 is a wasteful number, since it uses less digits than its factorization.

14148240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 14148240 is about 3761.4146275039. The cubic root of 14148240 is about 241.8619069624.

The spelling of 14148240 in words is "fourteen million, one hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 167 240 334 353 501 668 706 835 1002 1059 1336 1412 1670 1765 2004 2118 2505 2672 2824 3340 3530 4008 4236 5010 5295 5648 6680 7060 8016 8472 10020 10590 13360 14120 16944 20040 21180 28240 40080 42360 58951 84720 117902 176853 235804 294755 353706 471608 589510 707412 884265 943216 1179020 1414824 1768530 2358040 2829648 3537060 4716080 7074120 14148240