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14142072 = 233784179
BaseRepresentation
bin110101111100…
…101001111000
3222121111021110
4311330221320
512110021242
61223040320
7231130350
oct65745170
928544243
1014142072
117a8a16a
1248a00a0
132c11cb9
141c41b60
15139539c
hexd7ca78

14142072 has 32 divisors (see below), whose sum is σ = 40406400. Its totient is φ = 4040544.

The previous prime is 14142059. The next prime is 14142077. The reversal of 14142072 is 27024141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41922 + ... + 42257.

It is an arithmetic number, because the mean of its divisors is an integer number (1262700).

Almost surely, 214142072 is an apocalyptic number.

14142072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14142072 is an abundant number, since it is smaller than the sum of its proper divisors (26264328).

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

14142072 is a wasteful number, since it uses less digits than its factorization.

14142072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84195 (or 84191 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 14142072 is about 3760.5946338312. The cubic root of 14142072 is about 241.8267548615.

It can be divided in two parts, 1414 and 2072, that added together give a triangular number (3486 = T83).

The spelling of 14142072 in words is "fourteen million, one hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 84179 168358 252537 336716 505074 589253 673432 1010148 1178506 1767759 2020296 2357012 3535518 4714024 7071036 14142072