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4102893 = 34373
BaseRepresentation
bin1111101001101011101101
321201110010000
433221223231
52022243033
6223534513
746605534
oct17515355
97643100
104102893
112352623
12145a439
13b08662
1478b31b
15560a13
hex3e9aed

4102893 has 20 divisors (see below), whose sum is σ = 6299260. Its totient is φ = 2661336.

The previous prime is 4102883. The next prime is 4102907. The reversal of 4102893 is 3982014.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3175524 + 927369 = 1782^2 + 963^2 .

It is an ABA number since it can be written as A⋅BA, here for A=3, B=111.

It is not a de Polignac number, because 4102893 - 210 = 4101869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110871 + ... + 110907.

It is an arithmetic number, because the mean of its divisors is an integer number (314963).

Almost surely, 24102893 is an apocalyptic number.

It is an amenable number.

4102893 is a deficient number, since it is larger than the sum of its proper divisors (2196367).

4102893 is an frugal number, since it uses more digits than its factorization.

4102893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4102893 is about 2025.5599225893. The cubic root of 4102893 is about 160.0897023041.

The spelling of 4102893 in words is "four million, one hundred two thousand, eight hundred ninety-three".

Divisors: 1 3 9 27 37 81 111 333 999 1369 2997 4107 12321 36963 50653 110889 151959 455877 1367631 4102893