Search a number
-
+
10042677 = 33371951
BaseRepresentation
bin100110010011…
…110100110101
3200220012222000
4212103310311
510032331202
6555125513
7151234641
oct46236465
920805860
1010042677
11573a237
123443899
132108118
141495c21
15d3591c
hex993d35

10042677 has 8 divisors (see below), whose sum is σ = 14878080. Its totient is φ = 6695100.

The previous prime is 10042673. The next prime is 10042679. The reversal of 10042677 is 77624001.

It is not a de Polignac number, because 10042677 - 22 = 10042673 is a prime.

It is a super-2 number, since 2×100426772 = 201710722652658, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 371951 = 10042677 / (1 + 0 + 0 + 4 + 2 + 6 + 7 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 10042677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042673) 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, 185949 + ... + 186002.

It is an arithmetic number, because the mean of its divisors is an integer number (1859760).

Almost surely, 210042677 is an apocalyptic number.

It is an amenable number.

10042677 is a deficient number, since it is larger than the sum of its proper divisors (4835403).

10042677 is an equidigital number, since it uses as much as digits as its factorization.

10042677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371960 (or 371954 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 10042677 is about 3169.0183022507. The cubic root of 10042677 is about 215.7495167395.

Adding to 10042677 its reverse (77624001), we get a palindrome (87666678).

The spelling of 10042677 in words is "ten million, forty-two thousand, six hundred seventy-seven".

Divisors: 1 3 9 27 371951 1115853 3347559 10042677