Search a number
-
+
10040420 = 2251323273
BaseRepresentation
bin100110010011…
…010001100100
3200220002212102
4212103101210
510032243140
6555111232
7151225235
oct46232144
920802772
1010040420
115738575
123442518
1321070a0
14149508c
15d34e15
hex993464

10040420 has 72 divisors (see below), whose sum is σ = 24062136. Its totient is φ = 3497472.

The previous prime is 10040413. The next prime is 10040447. The reversal of 10040420 is 2404001.

It can be written as a sum of positive squares in 4 ways, for example, as 256036 + 9784384 = 506^2 + 3128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137504 + ... + 137576.

Almost surely, 210040420 is an apocalyptic number.

10040420 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 10040420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12031068).

10040420 is an abundant number, since it is smaller than the sum of its proper divisors (14021716).

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

10040420 is a wasteful number, since it uses less digits than its factorization.

10040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 10040420 is about 3168.6621782702. The cubic root of 10040420 is about 215.7333529502.

Adding to 10040420 its reverse (2404001), we get a palindrome (12444421).

The spelling of 10040420 in words is "ten million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 73 92 115 130 146 230 260 292 299 365 460 529 598 730 949 1058 1196 1460 1495 1679 1898 2116 2645 2990 3358 3796 4745 5290 5980 6716 6877 8395 9490 10580 13754 16790 18980 21827 27508 33580 34385 38617 43654 68770 77234 87308 109135 137540 154468 193085 218270 386170 436540 502021 772340 1004042 2008084 2510105 5020210 10040420