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3870680 = 2351119463
BaseRepresentation
bin1110110000111111011000
321021122120112
432300333120
51442330210
6214543452
744620532
oct16607730
97248515
103870680
112204110
121367b88
13a56a58
1472a852
15516d05
hex3b0fd8

3870680 has 64 divisors (see below), whose sum is σ = 10022400. Its totient is φ = 1330560.

The previous prime is 3870667. The next prime is 3870689. The reversal of 3870680 is 860783.

3870680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8129 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (156600).

Almost surely, 23870680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3870680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011200).

3870680 is an abundant number, since it is smaller than the sum of its proper divisors (6151720).

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

3870680 is a wasteful number, since it uses less digits than its factorization.

3870680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 3870680 is about 1967.4043814122. The cubic root of 3870680 is about 157.0106420363.

The spelling of 3870680 in words is "three million, eight hundred seventy thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 463 760 836 926 1045 1672 1852 2090 2315 3704 4180 4630 5093 8360 8797 9260 10186 17594 18520 20372 25465 35188 40744 43985 50930 70376 87970 96767 101860 175940 193534 203720 351880 387068 483835 774136 967670 1935340 3870680