Search a number
-
+
2056375680 = 273510211049
BaseRepresentation
bin111101010010001…
…1100110110000000
312022022102201010020
41322210130312000
513202413010210
6540015133440
7101646622242
oct17244346600
95268381106
102056375680
11965852537
12494814280
1326a055758
14157172092
15c07eb770
hex7a91cd80

2056375680 has 128 divisors (see below), whose sum is σ = 6567372000. Its totient is φ = 547307520.

The previous prime is 2056375679. The next prime is 2056375687. The reversal of 2056375680 is 865736502.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056375687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959796 + ... + 1960844.

Almost surely, 22056375680 is an apocalyptic number.

2056375680 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 2056375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283686000).

2056375680 is an abundant number, since it is smaller than the sum of its proper divisors (4510996320).

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

2056375680 is a wasteful number, since it uses less digits than its factorization.

2056375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 2056375680 is about 45347.2786394068. The cubic root of 2056375680 is about 1271.6496800397.

The spelling of 2056375680 in words is "two billion, fifty-six million, three hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1021 1049 1920 2042 2098 3063 3147 4084 4196 5105 5245 6126 6294 8168 8392 10210 10490 12252 12588 15315 15735 16336 16784 20420 20980 24504 25176 30630 31470 32672 33568 40840 41960 49008 50352 61260 62940 65344 67136 81680 83920 98016 100704 122520 125880 130688 134272 163360 167840 196032 201408 245040 251760 326720 335680 392064 402816 490080 503520 653440 671360 980160 1007040 1071029 1960320 2014080 2142058 3213087 4284116 5355145 6426174 8568232 10710290 12852348 16065435 17136464 21420580 25704696 32130870 34272928 42841160 51409392 64261740 68545856 85682320 102818784 128523480 137091712 171364640 205637568 257046960 342729280 411275136 514093920 685458560 1028187840 2056375680