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14167940 = 2251136269
BaseRepresentation
bin110110000010…
…111110000100
3222122210202112
4312002332010
512111333230
61223400152
7231265643
oct66027604
928583675
1014167940
117aa7646
1248b3058
132c209c7
141c4b35a
15139cd95
hexd82f84

14167940 has 24 divisors (see below), whose sum is σ = 30020760. Its totient is φ = 5616128.

The previous prime is 14167903. The next prime is 14167943. The reversal of 14167940 is 4976141.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 14032516 = 368^2 + 3746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14167897 and 14167906.

It is not an unprimeable number, because it can be changed into a prime (14167943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875 + ... + 5394.

It is an arithmetic number, because the mean of its divisors is an integer number (1250865).

Almost surely, 214167940 is an apocalyptic number.

14167940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14167940 is an abundant number, since it is smaller than the sum of its proper divisors (15852820).

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

14167940 is a wasteful number, since it uses less digits than its factorization.

14167940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 14167940 is about 3764.0324121878. The cubic root of 14167940 is about 241.9741110206.

The spelling of 14167940 in words is "fourteen million, one hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 6269 12538 25076 31345 62690 125380 708397 1416794 2833588 3541985 7083970 14167940