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3068586240 = 28351395749
BaseRepresentation
bin1011011011100110…
…1110100100000000
321220212002022222020
42312321232210000
522241024224430
61224254241440
7136020360366
oct26671564400
97825068866
103068586240
111335156295
127177b6280
1339b979705
1421177b636
1512e5e0b10
hexb6e6e900

3068586240 has 144 divisors (see below), whose sum is σ = 9872520000. Its totient is φ = 812261376.

The previous prime is 3068586229. The next prime is 3068586259. The reversal of 3068586240 is 426858603.

It is a junction number, because it is equal to n+sod(n) for n = 3068586192 and 3068586201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530886 + ... + 536634.

Almost surely, 23068586240 is an apocalyptic number.

3068586240 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 3068586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936260000).

3068586240 is an abundant number, since it is smaller than the sum of its proper divisors (6803933760).

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

3068586240 is a wasteful number, since it uses less digits than its factorization.

3068586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 3068586240 is about 55394.8214186128. The cubic root of 3068586240 is about 1453.1578012806.

The spelling of 3068586240 in words is "three billion, sixty-eight million, five hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 139 160 192 240 256 278 320 384 417 480 556 640 695 768 834 960 1112 1280 1390 1668 1920 2085 2224 2780 3336 3840 4170 4448 5560 5749 6672 8340 8896 11120 11498 13344 16680 17247 17792 22240 22996 26688 28745 33360 34494 35584 44480 45992 53376 57490 66720 68988 86235 88960 91984 106752 114980 133440 137976 172470 177920 183968 229960 266880 275952 344940 367936 459920 533760 551904 689880 735872 799111 919840 1103808 1379760 1471744 1598222 1839680 2207616 2397333 2759520 3196444 3679360 3995555 4415232 4794666 5519040 6392888 7358720 7991110 9589332 11038080 11986665 12785776 15982220 19178664 22076160 23973330 25571552 31964440 38357328 47946660 51143104 63928880 76714656 95893320 102286208 127857760 153429312 191786640 204572416 255715520 306858624 383573280 511431040 613717248 767146560 1022862080 1534293120 3068586240