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2120320 = 2753313
BaseRepresentation
bin1000000101101010000000
310222201112101
420011222000
51020322240
6113240144
724010456
oct10055200
93881471
102120320
111219034
12863054
13593137
143d29d6
152bd39a
hex205a80

2120320 has 32 divisors (see below), whose sum is σ = 5070420. Its totient is φ = 847872.

The previous prime is 2120317. The next prime is 2120329. The reversal of 2120320 is 230212.

It can be written as a sum of positive squares in 2 ways, for example, as 2050624 + 69696 = 1432^2 + 264^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2120297 and 2120306.

It is not an unprimeable number, because it can be changed into a prime (2120329) 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, 1017 + ... + 2296.

22120320 is an apocalyptic number.

2120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120320 is an abundant number, since it is smaller than the sum of its proper divisors (2950100).

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

2120320 is an equidigital number, since it uses as much as digits as its factorization.

2120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2120320 is about 1456.1318621608. The cubic root of 2120320 is about 128.4696290016.

Adding to 2120320 its reverse (230212), we get a palindrome (2350532).

The spelling of 2120320 in words is "two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3313 6626 13252 16565 26504 33130 53008 66260 106016 132520 212032 265040 424064 530080 1060160 2120320