Search a number
-
+
10741872040 = 235313857977
BaseRepresentation
bin10100000000100001…
…11111010110101000
31000201121201122020121
422000100333112220
5133444404401130
64533523333024
7530123256124
oct120020772650
930647648217
1010741872040
1146125634a9
1220b9521174
1310225ca503
1473c8ba584
1542d0a1d7a
hex28043f5a8

10741872040 has 32 divisors (see below), whose sum is σ = 24246458280. Its totient is φ = 4283016192.

The previous prime is 10741872023. The next prime is 10741872061. The reversal of 10741872040 is 4027814701.

It can be written as a sum of positive squares in 4 ways, for example, as 5701156036 + 5040716004 = 75506^2 + 70998^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10741871987 and 10741872005.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416469 + ... + 441508.

Almost surely, 210741872040 is an apocalyptic number.

10741872040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10741872040 is an abundant number, since it is smaller than the sum of its proper divisors (13504586240).

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

10741872040 is a wasteful number, since it uses less digits than its factorization.

10741872040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858301 (or 858297 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The spelling of 10741872040 in words is "ten billion, seven hundred forty-one million, eight hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 3130 6260 12520 857977 1715954 3431908 4289885 6863816 8579770 17159540 34319080 268546801 537093602 1074187204 1342734005 2148374408 2685468010 5370936020 10741872040