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114000407 = 1271635507
BaseRepresentation
bin1101100101110…
…00001000010111
321221111211011022
412302320020113
5213141003112
615151231355
72552662463
oct662701027
9257454138
10114000407
1159394214
123221855b
131a806181
14111d74a3
15a01cd72
hex6cb8217

114000407 has 8 divisors (see below), whose sum is σ = 115623936. Its totient is φ = 112388472.

The previous prime is 114000401. The next prime is 114000413. The reversal of 114000407 is 704000411.

It is an interprime number because it is at equal distance from previous prime (114000401) and next prime (114000413).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 114000407 - 24 = 114000391 is a prime.

It is a Duffinian number.

114000407 is a modest number, since divided by 407 gives 114 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114000401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17948 + ... + 23454.

It is an arithmetic number, because the mean of its divisors is an integer number (14452992).

Almost surely, 2114000407 is an apocalyptic number.

114000407 is a deficient number, since it is larger than the sum of its proper divisors (1623529).

114000407 is a wasteful number, since it uses less digits than its factorization.

114000407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797.

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 114000407 is about 10677.0973115356. The cubic root of 114000407 is about 484.8813356198.

Adding to 114000407 its reverse (704000411), we get a palindrome (818000818).

The spelling of 114000407 in words is "one hundred fourteen million, four hundred seven", and thus it is an aban number.

Divisors: 1 127 163 5507 20701 699389 897641 114000407