Search a number
-
+
3720383680 = 265137312251
BaseRepresentation
bin1101110111000000…
…1000110011000000
3100121021120001222011
43131300020303000
530104404234210
61413100422304
7161123511436
oct33560106300
910537501864
103720383680
11163a072362
12879b47994
13473a0c880
14274168d56
1516b940d8a
hexddc08cc0

3720383680 has 112 divisors (see below), whose sum is σ = 9672120864. Its totient is φ = 1354752000.

The previous prime is 3720383677. The next prime is 3720383729. The reversal of 3720383680 is 863830273.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 297555 + ... + 309805.

It is an arithmetic number, because the mean of its divisors is an integer number (86358222).

Almost surely, 23720383680 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 3720383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836060432).

3720383680 is an abundant number, since it is smaller than the sum of its proper divisors (5951737184).

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

3720383680 is a wasteful number, since it uses less digits than its factorization.

3720383680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12354 (or 12344 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 3720383680 is about 60994.9479875178. The cubic root of 3720383680 is about 1549.5154475665.

The spelling of 3720383680 in words is "three billion, seven hundred twenty million, three hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 73 80 104 130 146 160 208 260 292 320 365 416 520 584 730 832 949 1040 1168 1460 1898 2080 2336 2920 3796 4160 4672 4745 5840 7592 9490 11680 12251 15184 18980 23360 24502 30368 37960 49004 60736 61255 75920 98008 122510 151840 159263 196016 245020 303680 318526 392032 490040 637052 784064 796315 894323 980080 1274104 1592630 1788646 1960160 2548208 3185260 3577292 3920320 4471615 5096416 6370520 7154584 8943230 10192832 11626199 12741040 14309168 17886460 23252398 25482080 28618336 35772920 46504796 50964160 57236672 58130995 71545840 93009592 116261990 143091680 186019184 232523980 286183360 372038368 465047960 744076736 930095920 1860191840 3720383680