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2123392 = 2753313
BaseRepresentation
bin1000000110011010000000
310222212202011
420012122000
51020422032
6113302304
724022435
oct10063200
93885664
102123392
111220377
12864994
1359465b
143d3b8c
152be247
hex206680

2123392 has 32 divisors (see below), whose sum is σ = 4323780. Its totient is φ = 1038336.

The previous prime is 2123377. The next prime is 2123411. The reversal of 2123392 is 2933212.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 118336 = 1416^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6628 + ... + 6940.

22123392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161890).

2123392 is an abundant number, since it is smaller than the sum of its proper divisors (2200388).

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

2123392 is an equidigital number, since it uses as much as digits as its factorization.

2123392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 2123392 is about 1457.1863298837. The cubic root of 2123392 is about 128.5316429515.

It can be divided in two parts, 212 and 3392, that multiplied together give a square (719104 = 8482).

The spelling of 2123392 in words is "two million, one hundred twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 313 424 626 848 1252 1696 2504 3392 5008 6784 10016 16589 20032 33178 40064 66356 132712 265424 530848 1061696 2123392