Search a number
-
+
20130226560 = 273253494831
BaseRepresentation
bin10010101111110110…
…101110000110000000
31220221220120110111200
4102233312232012000
5312211314222220
613125300341200
71311563050113
oct225766560600
956856513450
1020130226560
11859aa96184
123a996a4800
131b8a672582
14d8d70457a
157cc3e1890
hex4afdae180

20130226560 has 96 divisors (see below), whose sum is σ = 69512208480. Its totient is φ = 5368058880.

The previous prime is 20130226537. The next prime is 20130226561. The reversal of 20130226560 is 6562203102.

20130226560 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 0 + 2 + 2 + 656 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130226561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1741656 + ... + 1753175.

It is an arithmetic number, because the mean of its divisors is an integer number (724085505).

Almost surely, 220130226560 is an apocalyptic number.

20130226560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130226560 is an abundant number, since it is smaller than the sum of its proper divisors (49381981920).

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

20130226560 is a wasteful number, since it uses less digits than its factorization.

20130226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494856 (or 3494841 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20130226560 its reverse (6562203102), we get a palindrome (26692429662).

The spelling of 20130226560 in words is "twenty billion, one hundred thirty million, two hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 3494831 6989662 10484493 13979324 17474155 20968986 27958648 31453479 34948310 41937972 52422465 55917296 62906958 69896620 83875944 104844930 111834592 125813916 139793240 157267395 167751888 209689860 223669184 251627832 279586480 314534790 335503776 419379720 447338368 503255664 559172960 629069580 671007552 838759440 1006511328 1118345920 1258139160 1342015104 1677518880 2013022656 2236691840 2516278320 3355037760 4026045312 5032556640 6710075520 10065113280 20130226560