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3132036 = 2232192241
BaseRepresentation
bin1011111100101010000100
312220010100100
423330222010
51300211121
6151044100
735423205
oct13745204
95803310
103132036
11184a166
121070630
1385879b
145b75ac
1541d026
hex2fca84

3132036 has 54 divisors (see below), whose sum is σ = 8390382. Its totient is φ = 984960.

The previous prime is 3132007. The next prime is 3132037. The reversal of 3132036 is 6302313.

It is a happy number.

3132036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2924100 + 207936 = 1710^2 + 456^2 .

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3132037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12876 + ... + 13116.

Almost surely, 23132036 is an apocalyptic number.

3132036 is a gapful number since it is divisible by the number (36) 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 3132036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195191).

3132036 is an abundant number, since it is smaller than the sum of its proper divisors (5258346).

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

3132036 is a wasteful number, since it uses less digits than its factorization.

3132036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3132036 is about 1769.7559153736. The cubic root of 3132036 is about 146.3105294046.

Adding to 3132036 its reverse (6302313), we get a palindrome (9434349).

The spelling of 3132036 in words is "three million, one hundred thirty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 241 342 361 482 684 722 723 964 1083 1444 1446 2166 2169 2892 3249 4332 4338 4579 6498 8676 9158 12996 13737 18316 27474 41211 54948 82422 87001 164844 174002 261003 348004 522006 783009 1044012 1566018 3132036