Search a number
-
+
2117632 = 2121147
BaseRepresentation
bin1000000101000000000000
310222120211211
420011000000
51020231012
6113215504
723666566
oct10050000
93876754
102117632
111217010
12861594
13591b4a
143d1a36
152bc6a7
hex205000

2117632 has 52 divisors (see below), whose sum is σ = 4718016. Its totient is φ = 942080.

The previous prime is 2117623. The next prime is 2117651. The reversal of 2117632 is 2367112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45033 + ... + 45079.

22117632 is an apocalyptic number.

2117632 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 2117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359008).

2117632 is an abundant number, since it is smaller than the sum of its proper divisors (2600384).

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

2117632 is an equidigital number, since it uses as much as digits as its factorization.

2117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 2117632 is about 1455.2085761155. The cubic root of 2117632 is about 128.4153176409.

The spelling of 2117632 in words is "two million, one hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 352 376 512 517 704 752 1024 1034 1408 1504 2048 2068 2816 3008 4096 4136 5632 6016 8272 11264 12032 16544 22528 24064 33088 45056 48128 66176 96256 132352 192512 264704 529408 1058816 2117632