Search a number
-
+
10097140 = 225504857
BaseRepresentation
bin100110100001…
…000111110100
3200222222200011
4212201013310
510041102030
61000230004
7151552504
oct46410764
920888604
1010097140
115777149
12346b304
132126b51
1414aba04
15d46b2a
hex9a11f4

10097140 has 12 divisors (see below), whose sum is σ = 21204036. Its totient is φ = 4038848.

The previous prime is 10097137. The next prime is 10097149. The reversal of 10097140 is 4179001.

It can be written as a sum of positive squares in 2 ways, for example, as 6615184 + 3481956 = 2572^2 + 1866^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097149) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 252409 + ... + 252448.

It is an arithmetic number, because the mean of its divisors is an integer number (1767003).

Almost surely, 210097140 is an apocalyptic number.

10097140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10097140 is an abundant number, since it is smaller than the sum of its proper divisors (11106896).

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

10097140 is a wasteful number, since it uses less digits than its factorization.

10097140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504866 (or 504864 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 10097140 is about 3177.5997230614. The cubic root of 10097140 is about 216.1388282196.

The spelling of 10097140 in words is "ten million, ninety-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 504857 1009714 2019428 2524285 5048570 10097140