Search a number
-
+
3686130 = 232575851
BaseRepresentation
bin1110000011111011110010
320221021102100
432003323302
51420424010
6211001230
743221510
oct16037362
96837370
103686130
112098498
121299216
139c0a56
146bd4b0
154cc2c0
hex383ef2

3686130 has 48 divisors (see below), whose sum is σ = 10954944. Its totient is φ = 842400.

The previous prime is 3686119. The next prime is 3686131. The reversal of 3686130 is 316863.

It is a junction number, because it is equal to n+sod(n) for n = 3686094 and 3686103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2296 + ... + 3555.

It is an arithmetic number, because the mean of its divisors is an integer number (228228).

Almost surely, 23686130 is an apocalyptic number.

3686130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3686130 is an abundant number, since it is smaller than the sum of its proper divisors (7268814).

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

3686130 is a wasteful number, since it uses less digits than its factorization.

3686130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3686130 is about 1919.9296862125. The cubic root of 3686130 is about 154.4745300019.

The spelling of 3686130 in words is "three million, six hundred eighty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 5851 11702 17553 29255 35106 40957 52659 58510 81914 87765 105318 122871 175530 204785 245742 263295 368613 409570 526590 614355 737226 1228710 1843065 3686130