Search a number
-
+
10090140 = 22351953167
BaseRepresentation
bin100110011111…
…011010011100
3200222122001220
4212133122130
510040341030
61000133340
7151523214
oct46373234
920878056
1010090140
115771965
123467250
1321238c8
1414a9244
15d44a10
hex99f69c

10090140 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 2486016.

The previous prime is 10090139. The next prime is 10090151. The reversal of 10090140 is 4109001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60337 + ... + 60503.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 210090140 is an apocalyptic number.

10090140 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 10090140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

10090140 is an abundant number, since it is smaller than the sum of its proper divisors (20391780).

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

10090140 is a wasteful number, since it uses less digits than its factorization.

10090140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10090140 is about 3176.4980717765. The cubic root of 10090140 is about 216.0888694668.

Adding to 10090140 its reverse (4109001), we get a palindrome (14199141).

The spelling of 10090140 in words is "ten million, ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 53 57 60 76 95 106 114 159 167 190 212 228 265 285 318 334 380 501 530 570 636 668 795 835 1002 1007 1060 1140 1590 1670 2004 2014 2505 3021 3173 3180 3340 4028 5010 5035 6042 6346 8851 9519 10020 10070 12084 12692 15105 15865 17702 19038 20140 26553 30210 31730 35404 38076 44255 47595 53106 60420 63460 88510 95190 106212 132765 168169 177020 190380 265530 336338 504507 531060 672676 840845 1009014 1681690 2018028 2522535 3363380 5045070 10090140