[go: up one dir, main page]

Search a number
-
+
2103040 = 2853153
BaseRepresentation
bin1000000001011100000000
310221211211101
420001130000
51014244130
6113024144
723606212
oct10013400
93854741
102103040
111207055
12855054
13588304
143ca5b2
152b81ca
hex201700

2103040 has 72 divisors (see below), whose sum is σ = 5298048. Its totient is φ = 798720.

The previous prime is 2103029. The next prime is 2103041. The reversal of 2103040 is 403012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39654 + ... + 39706.

It is an arithmetic number, because the mean of its divisors is an integer number (73584).

22103040 is an apocalyptic number.

2103040 is a gapful number since it is divisible by the number (20) 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 2103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649024).

2103040 is an abundant number, since it is smaller than the sum of its proper divisors (3195008).

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

2103040 is an equidigital number, since it uses as much as digits as its factorization.

2103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2103040 is about 1450.1861949419. The cubic root of 2103040 is about 128.1196797315.

Adding to 2103040 its reverse (403012), we get a palindrome (2506052).

The spelling of 2103040 in words is "two million, one hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 53 62 64 80 106 124 128 155 160 212 248 256 265 310 320 424 496 530 620 640 848 992 1060 1240 1280 1643 1696 1984 2120 2480 3286 3392 3968 4240 4960 6572 6784 7936 8215 8480 9920 13144 13568 16430 16960 19840 26288 32860 33920 39680 52576 65720 67840 105152 131440 210304 262880 420608 525760 1051520 2103040