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2120724 = 223258909
BaseRepresentation
bin1000000101110000010100
310222202002100
420011300110
51020330344
6113242100
724011604
oct10056024
93882070
102120724
111219371
12863330
13593388
143d2c04
152bd569
hex205c14

2120724 has 18 divisors (see below), whose sum is σ = 5360810. Its totient is φ = 706896.

The previous prime is 2120693. The next prime is 2120731. The reversal of 2120724 is 4270212.

It can be written as a sum of positive squares in only one way, i.e., 1140624 + 980100 = 1068^2 + 990^2 .

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 a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2120697 and 2120706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29419 + ... + 29490.

22120724 is an apocalyptic number.

It is an amenable number.

2120724 is an abundant number, since it is smaller than the sum of its proper divisors (3240086).

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

2120724 is a wasteful number, since it uses less digits than its factorization.

2120724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58919 (or 58914 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2120724 is about 1456.2705792537. The cubic root of 2120724 is about 128.4777879012.

Adding to 2120724 its reverse (4270212), we get a palindrome (6390936).

The spelling of 2120724 in words is "two million, one hundred twenty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 58909 117818 176727 235636 353454 530181 706908 1060362 2120724