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3690972 = 22321737163
BaseRepresentation
bin1110000101000111011100
320221112001200
432011013130
51421102342
6211035500
743241565
oct16050734
96845050
103690972
1120a109a
12129bb90
139c300c
146c116c
154cd94c
hex3851dc

3690972 has 72 divisors (see below), whose sum is σ = 10208016. Its totient is φ = 1119744.

The previous prime is 3690961. The next prime is 3690977. The reversal of 3690972 is 2790963.

3690972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3690977) 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 23 ways as a sum of consecutive naturals, for example, 22563 + ... + 22725.

It is an arithmetic number, because the mean of its divisors is an integer number (141778).

Almost surely, 23690972 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 3690972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104008).

3690972 is an abundant number, since it is smaller than the sum of its proper divisors (6517044).

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

3690972 is a wasteful number, since it uses less digits than its factorization.

3690972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3690972 is about 1921.1902560652. The cubic root of 3690972 is about 154.5421382533.

Subtracting from 3690972 its reverse (2790963), we obtain a palindrome (900009).

The spelling of 3690972 in words is "three million, six hundred ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 163 204 222 306 326 333 444 489 612 629 652 666 978 1258 1332 1467 1887 1956 2516 2771 2934 3774 5542 5661 5868 6031 7548 8313 11084 11322 12062 16626 18093 22644 24124 24939 33252 36186 49878 54279 72372 99756 102527 108558 205054 217116 307581 410108 615162 922743 1230324 1845486 3690972