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3661140 = 2235723379
BaseRepresentation
bin1101111101110101010100
320220000010210
431331311110
51414124030
6210245420
743055610
oct15756524
96800123
103661140
11208073a
121286870
139b2572
146b4340
154c4bb0
hex37dd54

3661140 has 96 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 798336.

The previous prime is 3661139. The next prime is 3661157. The reversal of 3661140 is 411663.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9471 + ... + 9849.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 23661140 is an apocalyptic number.

3661140 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 3661140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

3661140 is an abundant number, since it is smaller than the sum of its proper divisors (8596140).

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

3661140 is a wasteful number, since it uses less digits than its factorization.

3661140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3661140 is about 1913.4105675469. The cubic root of 3661140 is about 154.1246531079.

The spelling of 3661140 in words is "three million, six hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 379 420 460 483 644 690 758 805 966 1137 1380 1516 1610 1895 1932 2274 2415 2653 3220 3790 4548 4830 5306 5685 7580 7959 8717 9660 10612 11370 13265 15918 17434 22740 26151 26530 31836 34868 39795 43585 52302 53060 61019 79590 87170 104604 122038 130755 159180 174340 183057 244076 261510 305095 366114 523020 610190 732228 915285 1220380 1830570 3661140