Search a number
-
+
3561030 = 2335112109
BaseRepresentation
bin1101100101011001000110
320200220211000
431211121012
51402423110
6204154130
742161004
oct15453106
96626730
103561030
112012500
121238946
13978b25
14689a74
154a51c0
hex365646

3561030 has 96 divisors (see below), whose sum is σ = 10533600. Its totient is φ = 855360.

The previous prime is 3561023. The next prime is 3561053. The reversal of 3561030 is 301653.

3561030 = T332 + T333 + ... + T386.

3561030 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 (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3560994 and 3561012.

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 47 ways as a sum of consecutive naturals, for example, 32616 + ... + 32724.

It is an arithmetic number, because the mean of its divisors is an integer number (109725).

Almost surely, 23561030 is an apocalyptic number.

3561030 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 3561030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266800).

3561030 is an abundant number, since it is smaller than the sum of its proper divisors (6972570).

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

3561030 is a wasteful number, since it uses less digits than its factorization.

3561030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 3561030 is about 1887.0691561254. The cubic root of 3561030 is about 152.7068589367.

Adding to 3561030 its reverse (301653), we get a palindrome (3862683).

The spelling of 3561030 in words is "three million, five hundred sixty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 109 110 121 135 165 198 218 242 270 297 327 330 363 495 545 594 605 654 726 981 990 1089 1090 1199 1210 1485 1635 1815 1962 2178 2398 2943 2970 3267 3270 3597 3630 4905 5445 5886 5995 6534 7194 9810 10791 10890 11990 13189 14715 16335 17985 21582 26378 29430 32373 32670 35970 39567 53955 64746 65945 79134 107910 118701 131890 161865 197835 237402 323730 356103 395670 593505 712206 1187010 1780515 3561030