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2308107680 = 255172921009
BaseRepresentation
bin1000100110010010…
…1110110110100000
312221212010000111122
42021210232312200
514211333421210
61021010431412
7111124406624
oct21144566640
95855100448
102308107680
11a8495950a
12544b92568
132aa2535b8
1417c77d184
15d7973b55
hex8992eda0

2308107680 has 144 divisors (see below), whose sum is σ = 5985546840. Its totient is φ = 838139904.

The previous prime is 2308107643. The next prime is 2308107713. The reversal of 2308107680 is 867018032.

It can be written as a sum of positive squares in 12 ways, for example, as 341362576 + 1966745104 = 18476^2 + 44348^2 .

It is a super-2 number, since 2×23081076802 = 10654722124949964800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2308107680.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2287016 + ... + 2288024.

Almost surely, 22308107680 is an apocalyptic number.

2308107680 is a gapful number since it is divisible by the number (20) 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 2308107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992773420).

2308107680 is an abundant number, since it is smaller than the sum of its proper divisors (3677439160).

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

2308107680 is a wasteful number, since it uses less digits than its factorization.

2308107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 2308107680 is about 48042.7692790497. The cubic root of 2308107680 is about 1321.5553444704. Note that the first 3 decimals are identical.

The spelling of 2308107680 in words is "two billion, three hundred eight million, one hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 68 80 85 116 136 145 160 170 232 272 290 340 464 493 544 580 680 841 928 986 1009 1160 1360 1682 1972 2018 2320 2465 2720 3364 3944 4036 4205 4640 4930 5045 6728 7888 8072 8410 9860 10090 13456 14297 15776 16144 16820 17153 19720 20180 26912 28594 29261 32288 33640 34306 39440 40360 57188 58522 67280 68612 71485 78880 80720 85765 114376 117044 134560 137224 142970 146305 161440 171530 228752 234088 274448 285940 292610 343060 457504 468176 497437 548896 571880 585220 686120 848569 936352 994874 1143760 1170440 1372240 1697138 1989748 2287520 2340880 2487185 2744480 3394276 3979496 4242845 4681760 4974370 6788552 7958992 8485690 9948740 13577104 14425673 15917984 16971380 19897480 27154208 28851346 33942760 39794960 57702692 67885520 72128365 79589920 115405384 135771040 144256730 230810768 288513460 461621536 577026920 1154053840 2308107680