Search a number
-
+
3630780 = 2232523877
BaseRepresentation
bin1101110110011010111100
320211110111100
431312122330
51412141110
6205453100
742601236
oct15663274
96743440
103630780
11205a94a
121271190
139a17ba
146a7256
154babc0
hex3766bc

3630780 has 72 divisors (see below), whose sum is σ = 11505312. Its totient is φ = 925056.

The previous prime is 3630779. The next prime is 3630793. The reversal of 3630780 is 870363.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3702 + ... + 4578.

It is an arithmetic number, because the mean of its divisors is an integer number (159796).

Almost surely, 23630780 is an apocalyptic number.

3630780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752656).

3630780 is an abundant number, since it is smaller than the sum of its proper divisors (7874532).

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

3630780 is a wasteful number, since it uses less digits than its factorization.

3630780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3630780 is about 1905.4605742445. The cubic root of 3630780 is about 153.6974438651.

The spelling of 3630780 in words is "three million, six hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 877 1035 1380 1754 2070 2631 3508 4140 4385 5262 7893 8770 10524 13155 15786 17540 20171 26310 31572 39465 40342 52620 60513 78930 80684 100855 121026 157860 181539 201710 242052 302565 363078 403420 605130 726156 907695 1210260 1815390 3630780