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2120436 = 223258901
BaseRepresentation
bin1000000101101011110100
310222201200200
420011223310
51020323221
6113240500
724011013
oct10055364
93881620
102120436
11121912a
12863130
135931c6
143d2a7a
152bd426
hex205af4

2120436 has 18 divisors (see below), whose sum is σ = 5360082. Its totient is φ = 706800.

The previous prime is 2120429. The next prime is 2120453. The reversal of 2120436 is 6340212.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1299600 + 820836 = 1140^2 + 906^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a d-powerful number, because it can be written as 29 + 1 + 219 + 0 + 42 + 313 + 64 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29415 + ... + 29486.

22120436 is an apocalyptic number.

It is an amenable number.

2120436 is an abundant number, since it is smaller than the sum of its proper divisors (3239646).

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

2120436 is a wasteful number, since it uses less digits than its factorization.

2120436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58911 (or 58906 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2120436 is about 1456.1716931736. The cubic root of 2120436 is about 128.4719717620.

Adding to 2120436 its reverse (6340212), we get a palindrome (8460648).

It can be divided in two parts, 2120 and 436, that added together give a triangular number (2556 = T71).

The spelling of 2120436 in words is "two million, one hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 58901 117802 176703 235604 353406 530109 706812 1060218 2120436