Search a number
-
+
10287556340 = 2253731379029
BaseRepresentation
bin10011001010010111…
…11010011011110100
3222112221212000021012
421211023322123310
5132032103300330
64420454011352
7512635533425
oct114513723364
928487760235
1010287556340
1143aa06a386
121bb1346b58
13c7c44c359
146d841764c
1540325ec95
hex2652fa6f4

10287556340 has 24 divisors (see below), whose sum is σ = 21661803240. Its totient is φ = 4103987328.

The previous prime is 10287556297. The next prime is 10287556351. The reversal of 10287556340 is 4365578201.

It can be written as a sum of positive squares in 4 ways, for example, as 1957708516 + 8329847824 = 44246^2 + 91268^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682055 + ... + 696974.

It is an arithmetic number, because the mean of its divisors is an integer number (902575135).

Almost surely, 210287556340 is an apocalyptic number.

10287556340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10287556340 is an abundant number, since it is smaller than the sum of its proper divisors (11374246900).

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

10287556340 is a wasteful number, since it uses less digits than its factorization.

10287556340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379411 (or 1379409 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 10287556340 in words is "ten billion, two hundred eighty-seven million, five hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 373 746 1492 1865 3730 7460 1379029 2758058 5516116 6895145 13790290 27580580 514377817 1028755634 2057511268 2571889085 5143778170 10287556340