Search a number
-
+
201448960 = 29578691
BaseRepresentation
bin11000000000111…
…01111000000000
3112001001200000121
430000131320000
5403032331320
631553430024
74664200516
oct1400357000
9461050017
10201448960
11a3792649
125756b314
133297398b
141ca7c4b6
1512a438aa
hexc01de00

201448960 has 40 divisors (see below), whose sum is σ = 483011496. Its totient is φ = 80578560.

The previous prime is 201448913. The next prime is 201448987. The reversal of 201448960 is 69844102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36786 + ... + 41905.

Almost surely, 2201448960 is an apocalyptic number.

201448960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201448960 is an abundant number, since it is smaller than the sum of its proper divisors (281562536).

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

201448960 is an frugal number, since it uses more digits than its factorization.

201448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78714 (or 78698 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 201448960 is about 14193.2716453959. The cubic root of 201448960 is about 586.2124123667.

The spelling of 201448960 in words is "two hundred one million, four hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 78691 157382 314764 393455 629528 786910 1259056 1573820 2518112 3147640 5036224 6295280 10072448 12590560 20144896 25181120 40289792 50362240 100724480 201448960