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2055730560 = 27351382361
BaseRepresentation
bin111101010000111…
…1111010110000000
312022021012221011220
41322201333112000
513202231334220
6535553235040
7101641264362
oct17241772600
95267187156
102055730560
11965451884
12494562a80
13269b8ac20
14157044d32
15c0720540
hex7a87f580

2055730560 has 128 divisors (see below), whose sum is σ = 7056776160. Its totient is φ = 506019840.

The previous prime is 2055730543. The next prime is 2055730577. The reversal of 2055730560 is 650375502.

2055730560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2055730543) and next prime (2055730577).

It is a tau number, because it is divible by the number of its divisors (128).

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, 16221 + ... + 66140.

Almost surely, 22055730560 is an apocalyptic number.

2055730560 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 2055730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528388080).

2055730560 is an abundant number, since it is smaller than the sum of its proper divisors (5001045600).

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

2055730560 is a wasteful number, since it uses less digits than its factorization.

2055730560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82396 (or 82384 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 2055730560 is about 45340.1649754387. The cubic root of 2055730560 is about 1271.5166867590.

The spelling of 2055730560 in words is "two billion, fifty-five million, seven hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 82361 164722 247083 329444 411805 494166 658888 823610 988332 1070693 1235415 1317776 1647220 1976664 2141386 2470830 2635552 3212079 3294440 3953328 4282772 4941660 5271104 5353465 6424158 6588880 7906656 8565544 9883320 10542208 10706930 12848316 13177760 15813312 16060395 17131088 19766640 21413860 25696632 26355520 31626624 32120790 34262176 39533280 42827720 51393264 52711040 64241580 68524352 79066560 85655440 102786528 128483160 137048704 158133120 171310880 205573056 256966320 342621760 411146112 513932640 685243520 1027865280 2055730560