Search a number
-
+
3630906 = 23531241
BaseRepresentation
bin1101110110011100111010
320211110200000
431312130322
51412142111
6205453430
742601506
oct15663472
96743600
103630906
11205aa54
121271276
139a1886
146a7306
154bac56
hex37673a

3630906 has 48 divisors (see below), whose sum is σ = 8456448. Its totient is φ = 1166400.

The previous prime is 3630901. The next prime is 3630917. The reversal of 3630906 is 6090363.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3630906.

It is not an unprimeable number, because it can be changed into a prime (3630901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14946 + ... + 15186.

It is an arithmetic number, because the mean of its divisors is an integer number (176176).

Almost surely, 23630906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228224).

3630906 is an abundant number, since it is smaller than the sum of its proper divisors (4825542).

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

3630906 is a wasteful number, since it uses less digits than its factorization.

3630906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 3630906 is about 1905.4936368301. The cubic root of 3630906 is about 153.6992217801.

The spelling of 3630906 in words is "three million, six hundred thirty thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 241 243 279 482 486 558 723 837 1446 1674 2169 2511 4338 5022 6507 7471 7533 13014 14942 15066 19521 22413 39042 44826 58563 67239 117126 134478 201717 403434 605151 1210302 1815453 3630906