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10106740 = 2257210313
BaseRepresentation
bin100110100011…
…011101110100
3201000110211201
4212203131310
510041403430
61000342244
7151622500
oct46433564
921013751
1010106740
115783386
123474984
13212b327
1414b1300
15d498ca
hex9a3774

10106740 has 36 divisors (see below), whose sum is σ = 24691716. Its totient is φ = 3464832.

The previous prime is 10106737. The next prime is 10106741. The reversal of 10106740 is 4760101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3896676 + 6210064 = 1974^2 + 2492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106741) 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 11 ways as a sum of consecutive naturals, for example, 4177 + ... + 6136.

It is an arithmetic number, because the mean of its divisors is an integer number (685881).

Almost surely, 210106740 is an apocalyptic number.

10106740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10106740 is an abundant number, since it is smaller than the sum of its proper divisors (14584976).

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

10106740 is a wasteful number, since it uses less digits than its factorization.

10106740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 10327 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10106740 is about 3179.1099383318. The cubic root of 10106740 is about 216.2073055478.

Adding to 10106740 its reverse (4760101), we get a palindrome (14866841).

It can be divided in two parts, 1010 and 6740, that added together give a triangular number (7750 = T124).

The spelling of 10106740 in words is "ten million, one hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10313 20626 41252 51565 72191 103130 144382 206260 288764 360955 505337 721910 1010674 1443820 2021348 2526685 5053370 10106740