Search a number
-
+
10002146 = 2711107607
BaseRepresentation
bin100110001001…
…111011100010
3200211011100212
4212021323202
510030032041
6554214122
7151005530
oct46117342
920734325
1010002146
115711840
123424342
1320c283b
141485150
15d288eb
hex989ee2

10002146 has 32 divisors (see below), whose sum is σ = 18911232. Its totient is φ = 3854160.

The previous prime is 10002133. The next prime is 10002149. The reversal of 10002146 is 64120001.

10002146 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 (14).

It is a self number, because there is not a number n which added to its sum of digits gives 10002146.

It is not an unprimeable number, because it can be changed into a prime (10002149) 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, 16175 + ... + 16781.

It is an arithmetic number, because the mean of its divisors is an integer number (590976).

Almost surely, 210002146 is an apocalyptic number.

10002146 is a deficient number, since it is larger than the sum of its proper divisors (8909086).

10002146 is a wasteful number, since it uses less digits than its factorization.

10002146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10002146 is about 3162.6169543592. The cubic root of 10002146 is about 215.4588792904.

Adding to 10002146 its reverse (64120001), we get a palindrome (74122147).

The spelling of 10002146 in words is "ten million, two thousand, one hundred forty-six".

Divisors: 1 2 7 11 14 22 77 107 154 214 607 749 1177 1214 1498 2354 4249 6677 8239 8498 13354 16478 46739 64949 93478 129898 454643 714439 909286 1428878 5001073 10002146