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3672990 = 2325371103
BaseRepresentation
bin1110000000101110011110
320220121101200
432000232132
51420013430
6210420330
743135266
oct16005636
96817350
103672990
112089632
1212916a6
139b7a89
146b87a6
154c8460
hex380b9e

3672990 has 48 divisors (see below), whose sum is σ = 9816768. Its totient is φ = 952128.

The previous prime is 3672971. The next prime is 3672997. The reversal of 3672990 is 992763.

3672990 is a `hidden beast` number, since 367 + 299 + 0 = 666.

3672990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672997) 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, 2779 + ... + 3881.

It is an arithmetic number, because the mean of its divisors is an integer number (204516).

Almost surely, 23672990 is an apocalyptic number.

3672990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3672990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908384).

3672990 is an abundant number, since it is smaller than the sum of its proper divisors (6143778).

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

3672990 is a wasteful number, since it uses less digits than its factorization.

3672990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1150 counting only the distinct ones).

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

The square root of 3672990 is about 1916.5046308319. The cubic root of 3672990 is about 154.2907589473.

The spelling of 3672990 in words is "three million, six hundred seventy-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1103 1110 1665 2206 3309 3330 5515 6618 9927 11030 16545 19854 33090 40811 49635 81622 99270 122433 204055 244866 367299 408110 612165 734598 1224330 1836495 3672990