[go: up one dir, main page]

Search a number
-
+
256760160 = 25353131709
BaseRepresentation
bin11110100110111…
…01100101100000
3122220010202201120
433103131211200
51011212311120
641251132240
76235265616
oct1723354540
9586122646
10256760160
11121a30788
1271ba4080
134126b6b7
14261596b6
151781c140
hexf4dd960

256760160 has 96 divisors (see below), whose sum is σ = 811853280. Its totient is φ = 68210688.

The previous prime is 256760137. The next prime is 256760213. The reversal of 256760160 is 61067652.

It is a tau number, because it is divible by the number of its divisors (96).

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, 149386 + ... + 151094.

It is an arithmetic number, because the mean of its divisors is an integer number (8456805).

Almost surely, 2256760160 is an apocalyptic number.

256760160 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 256760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405926640).

256760160 is an abundant number, since it is smaller than the sum of its proper divisors (555093120).

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

256760160 is a wasteful number, since it uses less digits than its factorization.

256760160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 256760160 is about 16023.7373917573. The cubic root of 256760160 is about 635.5882782818.

The spelling of 256760160 in words is "two hundred fifty-six million, seven hundred sixty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 313 480 626 939 1252 1565 1709 1878 2504 3130 3418 3756 4695 5008 5127 6260 6836 7512 8545 9390 10016 10254 12520 13672 15024 17090 18780 20508 25040 25635 27344 30048 34180 37560 41016 50080 51270 54688 68360 75120 82032 102540 136720 150240 164064 205080 273440 410160 534917 820320 1069834 1604751 2139668 2674585 3209502 4279336 5349170 6419004 8023755 8558672 10698340 12838008 16047510 17117344 21396680 25676016 32095020 42793360 51352032 64190040 85586720 128380080 256760160