Search a number
-
+
2860268880 = 2435712831327
BaseRepresentation
bin1010101001111100…
…0011110101010000
321101100002201021110
42222133003311100
521324212101010
61151453253320
7130610612220
oct25237036520
97340081243
102860268880
111238602387
12679a94240
1336776c6c1
141d1c32080
1511b192120
hexaa7c3d50

2860268880 has 160 divisors (see below), whose sum is σ = 10149064704. Its totient is φ = 652773888.

The previous prime is 2860268863. The next prime is 2860268881. The reversal of 2860268880 is 888620682.

2860268880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28602688802 = 16362276131792908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2860268881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2154777 + ... + 2156103.

Almost surely, 22860268880 is an apocalyptic number.

2860268880 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 2860268880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074532352).

2860268880 is an abundant number, since it is smaller than the sum of its proper divisors (7288795824).

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

2860268880 is a wasteful number, since it uses less digits than its factorization.

2860268880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 2860268880 is about 53481.4816548682. The cubic root of 2860268880 is about 1419.5007303831.

The spelling of 2860268880 in words is "two billion, eight hundred sixty million, two hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1283 1327 1680 2566 2654 3849 3981 5132 5308 6415 6635 7698 7962 8981 9289 10264 10616 12830 13270 15396 15924 17962 18578 19245 19905 20528 21232 25660 26540 26943 27867 30792 31848 35924 37156 38490 39810 44905 46445 51320 53080 53886 55734 61584 63696 71848 74312 76980 79620 89810 92890 102640 106160 107772 111468 134715 139335 143696 148624 153960 159240 179620 185780 215544 222936 269430 278670 307920 318480 359240 371560 431088 445872 538860 557340 718480 743120 1077720 1114680 1702541 2155440 2229360 3405082 5107623 6810164 8512705 10215246 11917787 13620328 17025410 20430492 23835574 25538115 27240656 34050820 35753361 40860984 47671148 51076230 59588935 68101640 71506722 81721968 95342296 102152460 119177870 136203280 143013444 178766805 190684592 204304920 238355740 286026888 357533610 408609840 476711480 572053776 715067220 953422960 1430134440 2860268880