Search a number
-
+
3869580 = 22351121341
BaseRepresentation
bin1110110000101110001100
321021121001210
432300232030
51442311310
6214534420
744614401
oct16605614
97247053
103869580
112203300
121367410
13a563c0
1472a2a8
15516820
hex3b0b8c

3869580 has 144 divisors (see below), whose sum is σ = 13138272. Its totient is φ = 844800.

The previous prime is 3869573. The next prime is 3869581. The reversal of 3869580 is 859683.

3869580 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3869581) 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 47 ways as a sum of consecutive naturals, for example, 94360 + ... + 94400.

It is an arithmetic number, because the mean of its divisors is an integer number (91238).

Almost surely, 23869580 is an apocalyptic number.

3869580 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 3869580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6569136).

3869580 is an abundant number, since it is smaller than the sum of its proper divisors (9268692).

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

3869580 is a wasteful number, since it uses less digits than its factorization.

3869580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 3869580 is about 1967.1248053949. The cubic root of 3869580 is about 156.9957671246.

The spelling of 3869580 in words is "three million, eight hundred sixty-nine thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 41 44 52 55 60 65 66 78 82 110 121 123 130 132 143 156 164 165 195 205 220 242 246 260 286 330 363 390 410 429 451 484 492 533 572 605 615 660 715 726 780 820 858 902 1066 1210 1230 1353 1430 1452 1573 1599 1716 1804 1815 2132 2145 2255 2420 2460 2665 2706 2860 3146 3198 3630 4290 4510 4719 4961 5330 5412 5863 6292 6396 6765 7260 7865 7995 8580 9020 9438 9922 10660 11726 13530 14883 15730 15990 17589 18876 19844 23452 23595 24805 27060 29315 29766 31460 31980 35178 47190 49610 58630 59532 64493 70356 74415 87945 94380 99220 117260 128986 148830 175890 193479 257972 297660 322465 351780 386958 644930 773916 967395 1289860 1934790 3869580