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2082132 = 2233131483
BaseRepresentation
bin111111100010101010100
310220210011000
413330111110
51013112012
6112343300
723461233
oct7742524
93823130
102082132
1111a2378
12844b30
1357b940
143c2b1a
152b1ddc
hex1fc554

2082132 has 48 divisors (see below), whose sum is σ = 5817280. Its totient is φ = 640224.

The previous prime is 2082131. The next prime is 2082133. The reversal of 2082132 is 2312802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2082131) and next prime (2082133).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082131) 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, 663 + ... + 2145.

22082132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908640).

2082132 is an abundant number, since it is smaller than the sum of its proper divisors (3735148).

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

2082132 is a wasteful number, since it uses less digits than its factorization.

2082132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2082132 is about 1442.9594588900. The cubic root of 2082132 is about 127.6936848637.

Adding to 2082132 its reverse (2312802), we get a palindrome (4394934).

The spelling of 2082132 in words is "two million, eighty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1483 2966 4449 5932 8898 13347 17796 19279 26694 38558 40041 53388 57837 77116 80082 115674 160164 173511 231348 347022 520533 694044 1041066 2082132