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14107880 = 235192977
BaseRepresentation
bin110101110100…
…010011101000
3222112202101002
4311310103220
512102423010
61222214132
7230625563
oct65642350
928482332
1014107880
117a66506
124884348
132bcc577
141c334da
15138a1a5
hexd744e8

14107880 has 48 divisors (see below), whose sum is σ = 33535620. Its totient is φ = 5340672.

The previous prime is 14107879. The next prime is 14107889. The reversal of 14107880 is 8870141.

14107880 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 13586596 + 521284 = 3686^2 + 722^2 .

It is not an unprimeable number, because it can be changed into a prime (14107889) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13952 + ... + 14928.

Almost surely, 214107880 is an apocalyptic number.

14107880 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 14107880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767810).

14107880 is an abundant number, since it is smaller than the sum of its proper divisors (19427740).

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

14107880 is a wasteful number, since it uses less digits than its factorization.

14107880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 14107880 is about 3756.0457931181. The cubic root of 14107880 is about 241.6317053401.

The spelling of 14107880 in words is "fourteen million, one hundred seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 977 1444 1805 1954 2888 3610 3908 4885 7220 7816 9770 14440 18563 19540 37126 39080 74252 92815 148504 185630 352697 371260 705394 742520 1410788 1763485 2821576 3526970 7053940 14107880