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2121340 = 2251341199
BaseRepresentation
bin1000000101111001111100
310222202221011
420011321330
51020340330
6113245004
724013444
oct10057174
93882834
102121340
111219881
12863764
13593740
143d3124
152bd82a
hex205e7c

2121340 has 48 divisors (see below), whose sum is σ = 4939200. Its totient is φ = 760320.

The previous prime is 2121337. The next prime is 2121341. The reversal of 2121340 is 431212.

2121340 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 (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2121340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10561 + ... + 10759.

It is an arithmetic number, because the mean of its divisors is an integer number (102900).

22121340 is an apocalyptic number.

2121340 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 2121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469600).

2121340 is an abundant number, since it is smaller than the sum of its proper divisors (2817860).

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

2121340 is a wasteful number, since it uses less digits than its factorization.

2121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2121340 is about 1456.4820630547. The cubic root of 2121340 is about 128.4902262093.

Adding to 2121340 its reverse (431212), we get a palindrome (2552552).

The spelling of 2121340 in words is "two million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 199 205 260 398 410 533 796 820 995 1066 1990 2132 2587 2665 3980 5174 5330 8159 10348 10660 12935 16318 25870 32636 40795 51740 81590 106067 163180 212134 424268 530335 1060670 2121340