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2120053 = 131753181
BaseRepresentation
bin1000000101100101110101
310222201011111
420011211311
51020320203
6113235021
724006625
oct10054565
93881144
102120053
111218911
12862a71
13592c90
143d2885
152bd26d
hex205975

2120053 has 16 divisors (see below), whose sum is σ = 2476656. Its totient is φ = 1797120.

The previous prime is 2120051. The next prime is 2120057. The reversal of 2120053 is 3500212.

It can be written as a sum of positive squares in 8 ways, for example, as 154449 + 1965604 = 393^2 + 1402^2 .

It is not a de Polignac number, because 2120053 - 21 = 2120051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120051) 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, 11623 + ... + 11803.

It is an arithmetic number, because the mean of its divisors is an integer number (154791).

22120053 is an apocalyptic number.

It is an amenable number.

2120053 is a deficient number, since it is larger than the sum of its proper divisors (356603).

2120053 is a wasteful number, since it uses less digits than its factorization.

2120053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2120053 is about 1456.0401780171. The cubic root of 2120053 is about 128.4642362887.

Adding to 2120053 its reverse (3500212), we get a palindrome (5620265).

It can be divided in two parts, 21200 and 53, that multiplied together give a square (1123600 = 10602).

The spelling of 2120053 in words is "two million, one hundred twenty thousand, fifty-three".

Divisors: 1 13 17 53 181 221 689 901 2353 3077 9593 11713 40001 124709 163081 2120053