Search a number
-
+
2131368 = 23388807
BaseRepresentation
bin1000001000010110101000
311000021200120
420020112220
51021200433
6113403240
724054621
oct10102650
94007616
102131368
111226368
12869520
13598185
143d6a48
152c17b3
hex2085a8

2131368 has 16 divisors (see below), whose sum is σ = 5328480. Its totient is φ = 710448.

The previous prime is 2131361. The next prime is 2131373. The reversal of 2131368 is 8631312.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 88807 = 2131368 / (2 + 1 + 3 + 1 + 3 + 6 + 8).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2131361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44380 + ... + 44427.

It is an arithmetic number, because the mean of its divisors is an integer number (333030).

22131368 is an apocalyptic number.

It is an amenable number.

2131368 is an abundant number, since it is smaller than the sum of its proper divisors (3197112).

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

2131368 is a wasteful number, since it uses less digits than its factorization.

2131368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88816 (or 88812 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 2131368 is about 1459.9205457832. The cubic root of 2131368 is about 128.6923743753.

The spelling of 2131368 in words is "two million, one hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 88807 177614 266421 355228 532842 710456 1065684 2131368