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3887220 = 22351737103
BaseRepresentation
bin1110110101000001110100
321022111021010
432311001310
51443342340
6215152220
745020001
oct16650164
97274233
103887220
112215587
121375670
13a6143c
147328a8
1551bb80
hex3b5074

3887220 has 96 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 940032.

The previous prime is 3887197. The next prime is 3887227. The reversal of 3887220 is 227883.

3887220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38872202 = 30220958656800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37689 + ... + 37791.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 23887220 is an apocalyptic number.

3887220 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 3887220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

3887220 is an abundant number, since it is smaller than the sum of its proper divisors (8063628).

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

3887220 is a wasteful number, since it uses less digits than its factorization.

3887220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3887220 is about 1971.6034083963. The cubic root of 3887220 is about 157.2339676289.

The spelling of 3887220 in words is "three million, eight hundred eighty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 103 111 148 170 185 204 206 222 255 309 340 370 412 444 510 515 555 618 629 740 1020 1030 1110 1236 1258 1545 1751 1887 2060 2220 2516 3090 3145 3502 3774 3811 5253 6180 6290 7004 7548 7622 8755 9435 10506 11433 12580 15244 17510 18870 19055 21012 22866 26265 35020 37740 38110 45732 52530 57165 64787 76220 105060 114330 129574 194361 228660 259148 323935 388722 647870 777444 971805 1295740 1943610 3887220