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2121320 = 235181293
BaseRepresentation
bin1000000101111001101000
310222202220102
420011321220
51020340240
6113244532
724013415
oct10057150
93882812
102121320
111219863
12863748
13593726
143d310c
152bd815
hex205e68

2121320 has 32 divisors (see below), whose sum is σ = 4815720. Its totient is φ = 840960.

The previous prime is 2121289. The next prime is 2121323. The reversal of 2121320 is 231212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1582564 + 538756 = 1258^2 + 734^2 .

It is not an unprimeable number, because it can be changed into a prime (2121323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7094 + ... + 7386.

22121320 is an apocalyptic number.

2121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121320 is an abundant number, since it is smaller than the sum of its proper divisors (2694400).

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

2121320 is a wasteful number, since it uses less digits than its factorization.

2121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2121320 is about 1456.4751971798. The cubic root of 2121320 is about 128.4898224060.

Adding to 2121320 its reverse (231212), we get a palindrome (2352532).

The spelling of 2121320 in words is "two million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 181 293 362 586 724 905 1172 1448 1465 1810 2344 2930 3620 5860 7240 11720 53033 106066 212132 265165 424264 530330 1060660 2121320