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2121152 = 261123131
BaseRepresentation
bin1000000101110111000000
310222202200012
420011313000
51020334102
6113244052
724013055
oct10056700
93882605
102121152
111219720
12863628
13593627
143d302c
152bd752
hex205dc0

2121152 has 56 divisors (see below), whose sum is σ = 4828032. Its totient is φ = 915200.

The previous prime is 2121143. The next prime is 2121167. The reversal of 2121152 is 2511212.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16127 + ... + 16257.

22121152 is an apocalyptic number.

2121152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414016).

2121152 is an abundant number, since it is smaller than the sum of its proper divisors (2706880).

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

2121152 is a wasteful number, since it uses less digits than its factorization.

2121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its digits is 40, while the sum is 14.

The square root of 2121152 is about 1456.4175225532. The cubic root of 2121152 is about 128.4864303576.

Adding to 2121152 its reverse (2511212), we get a palindrome (4632364).

The spelling of 2121152 in words is "two million, one hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 131 176 184 253 262 352 368 506 524 704 736 1012 1048 1441 1472 2024 2096 2882 3013 4048 4192 5764 6026 8096 8384 11528 12052 16192 23056 24104 33143 46112 48208 66286 92224 96416 132572 192832 265144 530288 1060576 2121152