Search a number
-
+
10505140 = 225525257
BaseRepresentation
bin101000000100…
…101110110100
3201202201100021
4220010232310
510142131030
61013054524
7155202142
oct50045664
921681307
1010505140
115a25738
123627444
13223a779
141576592
15dc797a
hexa04bb4

10505140 has 12 divisors (see below), whose sum is σ = 22060836. Its totient is φ = 4202048.

The previous prime is 10505137. The next prime is 10505141. The reversal of 10505140 is 4150501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5934096 + 4571044 = 2436^2 + 2138^2 .

It is a super-2 number, since 2×105051402 = 220715932839200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262609 + ... + 262648.

It is an arithmetic number, because the mean of its divisors is an integer number (1838403).

Almost surely, 210505140 is an apocalyptic number.

10505140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505140 is an abundant number, since it is smaller than the sum of its proper divisors (11555696).

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

10505140 is a wasteful number, since it uses less digits than its factorization.

10505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525266 (or 525264 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 10505140 is about 3241.1633713838. The cubic root of 10505140 is about 219.0116824804.

Adding to 10505140 its reverse (4150501), we get a palindrome (14655641).

The spelling of 10505140 in words is "ten million, five hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 525257 1050514 2101028 2626285 5252570 10505140