Search a number
-
+
10010140 = 2257127563
BaseRepresentation
bin100110001011…
…111000011100
3200211120022221
4212023320130
510030311030
6554315124
7151041040
oct46137034
920746287
1010010140
115717848
123428aa4
1320c637a
141488020
15d2ae7a
hex98be1c

10010140 has 48 divisors (see below), whose sum is σ = 24256512. Its totient is φ = 3398976.

The previous prime is 10010113. The next prime is 10010141. The reversal of 10010140 is 4101001.

It is a happy number.

10010140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010141) 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, 17499 + ... + 18061.

It is an arithmetic number, because the mean of its divisors is an integer number (505344).

Almost surely, 210010140 is an apocalyptic number.

10010140 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 10010140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128256).

10010140 is an abundant number, since it is smaller than the sum of its proper divisors (14246372).

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

10010140 is a wasteful number, since it uses less digits than its factorization.

10010140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 10010140 is about 3163.8805287179. The cubic root of 10010140 is about 215.5162642964.

Adding to 10010140 its reverse (4101001), we get a palindrome (14111141).

The spelling of 10010140 in words is "ten million, ten thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 563 635 889 1126 1270 1778 2252 2540 2815 3556 3941 4445 5630 7882 8890 11260 15764 17780 19705 39410 71501 78820 143002 286004 357505 500507 715010 1001014 1430020 2002028 2502535 5005070 10010140