Search a number
-
+
10040103760 = 245532367949
BaseRepresentation
bin10010101100110111…
…11101001101010000
3221220201020010010211
421112123331031100
5131030231310020
64340134133504
7503542321351
oct112633751520
927821203124
1010040103760
114292416615
121b424b1294
13c400bc2cb
146b3601d28
153db68085a
hex2566fd350

10040103760 has 40 divisors (see below), whose sum is σ = 23783689800. Its totient is φ = 3940265472.

The previous prime is 10040103751. The next prime is 10040103761. The reversal of 10040103760 is 6730104001.

It can be written as a sum of positive squares in 4 ways, for example, as 356756544 + 9683347216 = 18888^2 + 98404^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×100401037602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040103761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179735 + ... + 1188214.

It is an arithmetic number, because the mean of its divisors is an integer number (594592245).

Almost surely, 210040103760 is an apocalyptic number.

10040103760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040103760 is an abundant number, since it is smaller than the sum of its proper divisors (13743586040).

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

10040103760 is a wasteful number, since it uses less digits than its factorization.

10040103760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368015 (or 2368009 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 10040103760 its reverse (6730104001), we get a palindrome (16770207761).

The spelling of 10040103760 in words is "ten billion, forty million, one hundred three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 2367949 4735898 9471796 11839745 18943592 23679490 37887184 47358980 94717960 125501297 189435920 251002594 502005188 627506485 1004010376 1255012970 2008020752 2510025940 5020051880 10040103760