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2780138880 = 27325482663
BaseRepresentation
bin1010010110110101…
…1000110110000000
321011202022200120200
42211231120312000
521143203421010
61135512005200
7125615535111
oct24555306600
97152280520
102780138880
1111a7352542
12657090800
13353c950bc
141c5334208
15114114cc0
hexa5b58d80

2780138880 has 96 divisors (see below), whose sum is σ = 9600186960. Its totient is φ = 741368832.

The previous prime is 2780138863. The next prime is 2780138917. The reversal of 2780138880 is 888310872.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235572 + ... + 247091.

Almost surely, 22780138880 is an apocalyptic number.

2780138880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2780138880 is an abundant number, since it is smaller than the sum of its proper divisors (6820048080).

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

2780138880 is a wasteful number, since it uses less digits than its factorization.

2780138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482688 (or 482673 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 2780138880 is about 52727.0222940761. The cubic root of 2780138880 is about 1406.1192821903.

The spelling of 2780138880 in words is "two billion, seven hundred eighty million, one hundred thirty-eight thousand, eight hundred eighty".

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 482663 965326 1447989 1930652 2413315 2895978 3861304 4343967 4826630 5791956 7239945 7722608 8687934 9653260 11583912 14479890 15445216 17375868 19306520 21719835 23167824 28959780 30890432 34751736 38613040 43439670 46335648 57919560 61780864 69503472 77226080 86879340 92671296 115839120 139006944 154452160 173758680 185342592 231678240 278013888 308904320 347517360 463356480 556027776 695034720 926712960 1390069440 2780138880