Search a number
-
+
3120043680 = 2532513166669
BaseRepresentation
bin1011100111111000…
…0001011010100000
322001102220122022100
42321332001122200
522342212344210
61233333210400
7140213635155
oct27176013240
98042818270
103120043680
111361201aa6
12730a90a00
133a95252c0
1421853422c
15133da75c0
hexb9f816a0

3120043680 has 144 divisors (see below), whose sum is σ = 11466229320. Its totient is φ = 768006144.

The previous prime is 3120043669. The next prime is 3120043681. The reversal of 3120043680 is 863400213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2153331216 + 966712464 = 46404^2 + 31092^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3120043681) 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, 64615 + ... + 102054.

Almost surely, 23120043680 is an apocalyptic number.

3120043680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3120043680 is an abundant number, since it is smaller than the sum of its proper divisors (8346185640).

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

3120043680 is a wasteful number, since it uses less digits than its factorization.

3120043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166703 (or 166692 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3120043680 is about 55857.3511724285. The cubic root of 3120043680 is about 1461.2355338481.

Adding to 3120043680 its reverse (863400213), we get a palindrome (3983443893).

The spelling of 3120043680 in words is "three billion, one hundred twenty million, forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 166669 333338 500007 666676 833345 1000014 1333352 1500021 1666690 2000028 2166697 2500035 2666704 3000042 3333380 4000056 4333394 5000070 5333408 6000084 6500091 6666760 7500105 8000112 8666788 10000140 10833485 12000168 13000182 13333520 15000210 16000224 17333576 19500273 20000280 21666970 24000336 26000364 26667040 30000420 32500455 34667152 39000546 40000560 43333940 48000672 52000728 60000840 65000910 69334304 78001092 80001120 86667880 97501365 104001456 120001680 130001820 156002184 173335760 195002730 208002912 240003360 260003640 312004368 346671520 390005460 520007280 624008736 780010920 1040014560 1560021840 3120043680