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2120144 = 241310193
BaseRepresentation
bin1000000101100111010000
310222201021212
420011213100
51020321034
6113235252
724010115
oct10054720
93881255
102120144
111218994
12862b28
13593030
143d290c
152bd2ce
hex2059d0

2120144 has 20 divisors (see below), whose sum is σ = 4424196. Its totient is φ = 978432.

The previous prime is 2120143. The next prime is 2120147. The reversal of 2120144 is 4410212.

It can be written as a sum of positive squares in 2 ways, for example, as 883600 + 1236544 = 940^2 + 1112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4889 + ... + 5304.

22120144 is an apocalyptic number.

It is an amenable number.

2120144 is an abundant number, since it is smaller than the sum of its proper divisors (2304052).

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

2120144 is a wasteful number, since it uses less digits than its factorization.

2120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10214 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2120144 is about 1456.0714268194. The cubic root of 2120144 is about 128.4660743054.

Adding to 2120144 its reverse (4410212), we get a palindrome (6530356).

The spelling of 2120144 in words is "two million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 10193 20386 40772 81544 132509 163088 265018 530036 1060072 2120144