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3685030560 = 2532523111263
BaseRepresentation
bin1101101110100101…
…0001101010100000
3100111211000221121100
43123221101222200
530021331434220
61405354554400
7160214146221
oct33351215240
910454027540
103685030560
111621116002
1286a138a00
134695b2173
1426d5a5248
151687aad90
hexdba51aa0

3685030560 has 144 divisors (see below), whose sum is σ = 13122031104. Its totient is φ = 939941376.

The previous prime is 3685030541. The next prime is 3685030561. The reversal of 3685030560 is 650305863.

3685030560 is a `hidden beast` number, since 3 + 68 + 5 + 0 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3685030561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22512 + ... + 88751.

It is an arithmetic number, because the mean of its divisors is an integer number (91125216).

Almost surely, 23685030560 is an apocalyptic number.

3685030560 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 3685030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561015552).

3685030560 is an abundant number, since it is smaller than the sum of its proper divisors (9437000544).

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

3685030560 is a wasteful number, since it uses less digits than its factorization.

3685030560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111307 (or 111296 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3685030560 is about 60704.4525549815. The cubic root of 3685030560 is about 1544.5917040930.

The spelling of 3685030560 in words is "three billion, six hundred eighty-five million, thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 111263 222526 333789 445052 556315 667578 890104 1001367 1112630 1335156 1668945 1780208 2002734 2225260 2559049 2670312 3337890 3560416 4005468 4450520 5006835 5118098 5340624 6675780 7677147 8010936 8901040 10013670 10236196 10681248 12795245 13351560 15354294 16021872 17802080 20027340 20472392 23031441 25590490 26703120 30708588 32043744 38385735 40054680 40944784 46062882 51180980 53406240 61417176 76771470 80109360 81889568 92125764 102361960 115157205 122834352 153542940 160218720 184251528 204723920 230314410 245668704 307085880 368503056 409447840 460628820 614171760 737006112 921257640 1228343520 1842515280 3685030560