Search a number
-
+
10106754 = 237331727
BaseRepresentation
bin100110100011…
…011110000010
3201000110212020
4212203132002
510041404004
61000342310
7151622520
oct46433602
921013766
1010106754
115783399
123474996
13212b338
1414b1310
15d498d9
hex9a3782

10106754 has 32 divisors (see below), whose sum is σ = 23202816. Its totient is φ = 2874960.

The previous prime is 10106741. The next prime is 10106773. The reversal of 10106754 is 45760101.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13539 + ... + 14265.

It is an arithmetic number, because the mean of its divisors is an integer number (725088).

Almost surely, 210106754 is an apocalyptic number.

10106754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10106754 is an abundant number, since it is smaller than the sum of its proper divisors (13096062).

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

10106754 is a wasteful number, since it uses less digits than its factorization.

10106754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10106754 is about 3179.1121402052. The cubic root of 10106754 is about 216.2074053789.

Adding to 10106754 its reverse (45760101), we get a palindrome (55866855).

The spelling of 10106754 in words is "ten million, one hundred six thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 331 662 727 993 1454 1986 2181 2317 4362 4634 5089 6951 10178 13902 15267 30534 240637 481274 721911 1443822 1684459 3368918 5053377 10106754