Search a number
-
+
10140940 = 2254183149
BaseRepresentation
bin100110101011…
…110100001100
3201002012202101
4212223310030
510044002230
61001204444
7152124265
oct46536414
921065671
1010140940
1157a7047
123490724
132140a74
1414bd96c
15d54aca
hex9abd0c

10140940 has 48 divisors (see below), whose sum is σ = 22226400. Its totient is φ = 3883520.

The previous prime is 10140917. The next prime is 10140943. The reversal of 10140940 is 4904101.

10140940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10140943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67986 + ... + 68134.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 210140940 is an apocalyptic number.

10140940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113200).

10140940 is an abundant number, since it is smaller than the sum of its proper divisors (12085460).

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

10140940 is a wasteful number, since it uses less digits than its factorization.

10140940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10140940 is about 3184.4842596565. The cubic root of 10140940 is about 216.4509042100.

It can be divided in two parts, 101 and 40940, that added together give a triangular number (41041 = T286).

The spelling of 10140940 in words is "ten million, one hundred forty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 83 149 164 166 205 298 332 410 415 596 745 820 830 1490 1660 2980 3403 6109 6806 12218 12367 13612 17015 24436 24734 30545 34030 49468 61090 61835 68060 122180 123670 247340 507047 1014094 2028188 2535235 5070470 10140940