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2131416 = 233274229
BaseRepresentation
bin1000001000010111011000
311000021202100
420020113120
51021201131
6113403400
724055020
oct10102730
94007670
102131416
111226401
12869560
135981c1
143d6a80
152c17e6
hex2085d8

2131416 has 48 divisors (see below), whose sum is σ = 6598800. Its totient is φ = 608832.

The previous prime is 2131399. The next prime is 2131417. The reversal of 2131416 is 6141312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131417) 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, 1611 + ... + 2618.

It is an arithmetic number, because the mean of its divisors is an integer number (137475).

22131416 is an apocalyptic number.

It is an amenable number.

2131416 is an abundant number, since it is smaller than the sum of its proper divisors (4467384).

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

2131416 is a wasteful number, since it uses less digits than its factorization.

2131416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4241 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2131416 is about 1459.9369849415. The cubic root of 2131416 is about 128.6933404508.

Adding to 2131416 its reverse (6141312), we get a palindrome (8272728).

The spelling of 2131416 in words is "two million, one hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4229 8458 12687 16916 25374 29603 33832 38061 50748 59206 76122 88809 101496 118412 152244 177618 236824 266427 304488 355236 532854 710472 1065708 2131416