Search a number
-
+
10457140 = 225522857
BaseRepresentation
bin100111111001…
…000000110100
3201200021111111
4213321000310
510134112030
61012044404
7154612201
oct47710064
921607444
1010457140
1159a2671
123603704
132221975
141562ca8
15db862a
hex9f9034

10457140 has 12 divisors (see below), whose sum is σ = 21960036. Its totient is φ = 4182848.

The previous prime is 10457131. The next prime is 10457147. The reversal of 10457140 is 4175401.

It can be written as a sum of positive squares in 2 ways, for example, as 7086244 + 3370896 = 2662^2 + 1836^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457147) 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, 261409 + ... + 261448.

It is an arithmetic number, because the mean of its divisors is an integer number (1830003).

Almost surely, 210457140 is an apocalyptic number.

10457140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10457140 is an abundant number, since it is smaller than the sum of its proper divisors (11502896).

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

10457140 is a wasteful number, since it uses less digits than its factorization.

10457140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522866 (or 522864 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 10457140 is about 3233.7501449555. The cubic root of 10457140 is about 218.6776043425.

The spelling of 10457140 in words is "ten million, four hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 522857 1045714 2091428 2614285 5228570 10457140