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2121993 = 321371721
BaseRepresentation
bin1000000110000100001001
310222210211100
420012010021
51020400433
6113252013
724015366
oct10060411
93883740
102121993
11121a315
12864009
13593b23
143d346d
152bdb13
hex206109

2121993 has 12 divisors (see below), whose sum is σ = 3089268. Its totient is φ = 1403520.

The previous prime is 2121989. The next prime is 2122009. The reversal of 2121993 is 3991212.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 710649 = 1188^2 + 843^2 .

It is not a de Polignac number, because 2121993 - 22 = 2121989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2121943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373 + ... + 2093.

It is an arithmetic number, because the mean of its divisors is an integer number (257439).

22121993 is an apocalyptic number.

It is an amenable number.

2121993 is a deficient number, since it is larger than the sum of its proper divisors (967275).

2121993 is a wasteful number, since it uses less digits than its factorization.

2121993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1861 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 2121993 is about 1456.7062160916. The cubic root of 2121993 is about 128.5034089947.

It can be divided in two parts, 21219 and 93, that added together give a palindrome (21312).

The spelling of 2121993 in words is "two million, one hundred twenty-one thousand, nine hundred ninety-three".

Divisors: 1 3 9 137 411 1233 1721 5163 15489 235777 707331 2121993