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2056279560 = 2335194121997
BaseRepresentation
bin111101010010000…
…0101011000001000
312022022020211021020
41322210011120020
513202401421220
6540013112440
7101646042066
oct17244053010
95268224236
102056279560
119657972a5
12494788720
1326a020a8a
14157149036
15c07cd040
hex7a905608

2056279560 has 128 divisors (see below), whose sum is σ = 6652195200. Its totient is φ = 506787840.

The previous prime is 2056279543. The next prime is 2056279571. The reversal of 2056279560 is 659726502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82482 + ... + 104478.

It is an arithmetic number, because the mean of its divisors is an integer number (51970275).

Almost surely, 22056279560 is an apocalyptic number.

2056279560 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 2056279560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326097600).

2056279560 is an abundant number, since it is smaller than the sum of its proper divisors (4595915640).

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

2056279560 is a wasteful number, since it uses less digits than its factorization.

2056279560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22071 (or 22067 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 2056279560 is about 45346.2188059820. The cubic root of 2056279560 is about 1271.6298663981.

The spelling of 2056279560 in words is "two billion, fifty-six million, two hundred seventy-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 41 57 60 76 82 95 114 120 123 152 164 190 205 228 246 285 328 380 410 456 492 570 615 760 779 820 984 1140 1230 1558 1640 2280 2337 2460 3116 3895 4674 4920 6232 7790 9348 11685 15580 18696 21997 23370 31160 43994 46740 65991 87988 93480 109985 131982 175976 219970 263964 329955 417943 439940 527928 659910 835886 879880 901877 1253829 1319820 1671772 1803754 2089715 2507658 2639640 2705631 3343544 3607508 4179430 4509385 5015316 5411262 6269145 7215016 8358860 9018770 10030632 10822524 12538290 13528155 16717720 17135663 18037540 21645048 25076580 27056310 34271326 36075080 50153160 51406989 54112620 68542652 85678315 102813978 108225240 137085304 171356630 205627956 257034945 342713260 411255912 514069890 685426520 1028139780 2056279560