Search a number
-
+
2131886080 = 21753253
BaseRepresentation
bin111111100010010…
…0000000000000000
312111120112000220201
41333010200000000
513331230323310
6551313414544
7103554506212
oct17704400000
95446460821
102131886080
119a4437625
124b5b6a454
1327c8a346c
141631ca5b2
15c7264e3a
hex7f120000

2131886080 has 72 divisors (see below), whose sum is σ = 5118079932. Its totient is φ = 852492288.

The previous prime is 2131886059. The next prime is 2131886131. The reversal of 2131886080 is 806881312.

It can be written as a sum of positive squares in 2 ways, for example, as 1961426944 + 170459136 = 44288^2 + 13056^2 .

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, 653734 + ... + 656986.

Almost surely, 22131886080 is an apocalyptic number.

2131886080 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 2131886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559039966).

2131886080 is an abundant number, since it is smaller than the sum of its proper divisors (2986193852).

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

2131886080 is an frugal number, since it uses more digits than its factorization.

2131886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 2131886080 is about 46172.3519002444. The cubic root of 2131886080 is about 1287.0280078435.

The spelling of 2131886080 in words is "two billion, one hundred thirty-one million, eight hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3253 4096 5120 6506 8192 10240 13012 16265 16384 20480 26024 32530 32768 40960 52048 65060 65536 81920 104096 130120 131072 163840 208192 260240 327680 416384 520480 655360 832768 1040960 1665536 2081920 3331072 4163840 6662144 8327680 13324288 16655360 26648576 33310720 53297152 66621440 106594304 133242880 213188608 266485760 426377216 532971520 1065943040 2131886080