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2056056640 = 26511896563
BaseRepresentation
bin111101010001100…
…1110111101000000
312022021211111110221
41322203032331000
513202322303030
6540004232424
7101644123141
oct17243167500
95267744427
102056056640
11965654870
1249469b714
13269c73481
141570cbac8
15c0786e7a
hex7a8cef40

2056056640 has 112 divisors (see below), whose sum is σ = 5401909440. Its totient is φ = 739143680.

The previous prime is 2056056547. The next prime is 2056056677. The reversal of 2056056640 is 466506502.

It is a junction number, because it is equal to n+sod(n) for n = 2056056596 and 2056056605.

It is a congruent number.

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, 309999 + ... + 316561.

Almost surely, 22056056640 is an apocalyptic number.

2056056640 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 2056056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700954720).

2056056640 is an abundant number, since it is smaller than the sum of its proper divisors (3345852800).

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

2056056640 is a wasteful number, since it uses less digits than its factorization.

2056056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6680 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 2056056640 is about 45343.7607615425. The cubic root of 2056056640 is about 1271.5839125341.

The spelling of 2056056640 in words is "two billion, fifty-six million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 89 110 160 176 178 220 320 352 356 440 445 704 712 880 890 979 1424 1760 1780 1958 2848 3520 3560 3916 4895 5696 6563 7120 7832 9790 13126 14240 15664 19580 26252 28480 31328 32815 39160 52504 62656 65630 72193 78320 105008 131260 144386 156640 210016 262520 288772 313280 360965 420032 525040 577544 584107 721930 1050080 1155088 1168214 1443860 2100160 2310176 2336428 2887720 2920535 4620352 4672856 5775440 5841070 6425177 9345712 11550880 11682140 12850354 18691424 23101760 23364280 25700708 32125885 37382848 46728560 51401416 64251770 93457120 102802832 128503540 186914240 205605664 257007080 411211328 514014160 1028028320 2056056640