Search a number
-
+
3639690 = 2325371093
BaseRepresentation
bin1101111000100110001010
320211220201100
431320212022
51412432230
6210002230
742636225
oct15704612
96756640
103639690
11206660a
121276376
139a5882
146aa5bc
154bd660
hex37898a

3639690 has 48 divisors (see below), whose sum is σ = 9727848. Its totient is φ = 943488.

The previous prime is 3639689. The next prime is 3639719. The reversal of 3639690 is 969363.

3639690 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 4 ways, for example, as 3606201 + 33489 = 1899^2 + 183^2 .

It is a super-2 number, since 2×36396902 = 26494686592200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 2784 + ... + 3876.

Almost surely, 23639690 is an apocalyptic number.

3639690 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 3639690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863924).

3639690 is an abundant number, since it is smaller than the sum of its proper divisors (6088158).

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

3639690 is a wasteful number, since it uses less digits than its factorization.

3639690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3639690 is about 1907.7971590292. The cubic root of 3639690 is about 153.8230665996.

The spelling of 3639690 in words is "three million, six hundred thirty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1093 1110 1665 2186 3279 3330 5465 6558 9837 10930 16395 19674 32790 40441 49185 80882 98370 121323 202205 242646 363969 404410 606615 727938 1213230 1819845 3639690