Search a number
-
+
2103712 = 25132389
BaseRepresentation
bin1000000001100110100000
310221212202021
420001212200
51014304322
6113031224
723611162
oct10014640
93855667
102103712
111207606
12855514
13588700
143ca932
152b84c7
hex2019a0

2103712 has 36 divisors (see below), whose sum is σ = 4496310. Its totient is φ = 968448.

The previous prime is 2103683. The next prime is 2103713. The reversal of 2103712 is 2173012.

It is a happy number.

2103712 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 767376 + 1336336 = 876^2 + 1156^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2103713) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5214 + ... + 5602.

22103712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248155).

2103712 is an abundant number, since it is smaller than the sum of its proper divisors (2392598).

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

2103712 is a wasteful number, since it uses less digits than its factorization.

2103712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 2103712 is about 1450.4178708221. The cubic root of 2103712 is about 128.1333246227.

Adding to 2103712 its reverse (2173012), we get a palindrome (4276724).

The spelling of 2103712 in words is "two million, one hundred three thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 389 416 676 778 1352 1556 2704 3112 5057 5408 6224 10114 12448 20228 40456 65741 80912 131482 161824 262964 525928 1051856 2103712