Search a number
-
+
2121330 = 235312281
BaseRepresentation
bin1000000101111001110010
310222202220210
420011321302
51020340310
6113244550
724013431
oct10057162
93882823
102121330
111219872
12863756
13593733
143d3118
152bd820
hex205e72

2121330 has 32 divisors (see below), whose sum is σ = 5257728. Its totient is φ = 547200.

The previous prime is 2121323. The next prime is 2121337. The reversal of 2121330 is 331212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2121323) and next prime (2121337).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211 + ... + 2070.

It is an arithmetic number, because the mean of its divisors is an integer number (164304).

22121330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628864).

2121330 is an abundant number, since it is smaller than the sum of its proper divisors (3136398).

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

2121330 is a wasteful number, since it uses less digits than its factorization.

2121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2121330 is about 1456.4786301213. The cubic root of 2121330 is about 128.4900243080.

Adding to 2121330 its reverse (331212), we get a palindrome (2452542).

The spelling of 2121330 in words is "two million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 2281 4562 6843 11405 13686 22810 34215 68430 70711 141422 212133 353555 424266 707110 1060665 2121330