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14148880 = 245475371
BaseRepresentation
bin110101111110…
…010100010000
3222121211121121
4311332110100
512110231010
61223132024
7231156244
oct65762420
928554547
1014148880
117a94299
1248a4014
132c15125
141c44424
1513973da
hexd7e510

14148880 has 80 divisors (see below), whose sum is σ = 34712064. Its totient is φ = 5358080.

The previous prime is 14148877. The next prime is 14148881. The reversal of 14148880 is 8884141.

It is a happy number.

14148880 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 hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14148881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199245 + ... + 199315.

Almost surely, 214148880 is an apocalyptic number.

14148880 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 14148880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356032).

14148880 is an abundant number, since it is smaller than the sum of its proper divisors (20563184).

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

14148880 is a wasteful number, since it uses less digits than its factorization.

14148880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 14148880 is about 3761.4997009172. The cubic root of 14148880 is about 241.8655538067.

The spelling of 14148880 in words is "fourteen million, one hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 53 71 80 94 106 142 188 212 235 265 284 355 376 424 470 530 568 710 752 848 940 1060 1136 1420 1880 2120 2491 2840 3337 3760 3763 4240 4982 5680 6674 7526 9964 12455 13348 15052 16685 18815 19928 24910 26696 30104 33370 37630 39856 49820 53392 60208 66740 75260 99640 133480 150520 176861 199280 266960 301040 353722 707444 884305 1414888 1768610 2829776 3537220 7074440 14148880