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13428114 = 237378641
BaseRepresentation
bin110011001110…
…010110010010
3221021012220120
4303032112102
511414144424
61155451110
7222065010
oct63162622
927235816
1013428114
117641817
1245b6a96
132a2203b
141ad78b0
1512a3a79
hexcce592

13428114 has 32 divisors (see below), whose sum is σ = 31526016. Its totient is φ = 3732480.

The previous prime is 13428109. The next prime is 13428119. The reversal of 13428114 is 41182431.

13428114 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 an interprime number because it is at equal distance from previous prime (13428109) and next prime (13428119).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13428119) 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, 2767 + ... + 5874.

It is an arithmetic number, because the mean of its divisors is an integer number (985188).

Almost surely, 213428114 is an apocalyptic number.

13428114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13428114 is an abundant number, since it is smaller than the sum of its proper divisors (18097902).

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

13428114 is a wasteful number, since it uses less digits than its factorization.

13428114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690.

The product of its digits is 768, while the sum is 24.

The square root of 13428114 is about 3664.4391112420. The cubic root of 13428114 is about 237.6867686924.

The spelling of 13428114 in words is "thirteen million, four hundred twenty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1554 8641 17282 25923 51846 60487 120974 181461 319717 362922 639434 959151 1918302 2238019 4476038 6714057 13428114