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2714575680 = 26345104729
BaseRepresentation
bin1010000111001101…
…0010001101000000
321000011221201210000
42201303102031000
521024412410210
61125210440000
7124161340545
oct24163221500
97004851700
102714575680
111173341983
12639133000
1334351abcb
141ba748bcc
1510d4b3ac0
hexa1cd2340

2714575680 has 140 divisors (see below), whose sum is σ = 9656315460. Its totient is φ = 723879936.

The previous prime is 2714575679. The next prime is 2714575723. The reversal of 2714575680 is 865754172.

2714575680 is a `hidden beast` number, since 2 + 7 + 14 + 575 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2031485184 + 683090496 = 45072^2 + 26136^2 .

It is a super-2 number, since 2×27145756802 = 14737842244894924800, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 26445 + ... + 78284.

Almost surely, 22714575680 is an apocalyptic number.

2714575680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2714575680 is an abundant number, since it is smaller than the sum of its proper divisors (6941739780).

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

2714575680 is a wasteful number, since it uses less digits than its factorization.

2714575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104758 (or 104739 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2714575680 is about 52101.5899949320. The cubic root of 2714575680 is about 1394.9778699230.

The spelling of 2714575680 in words is "two billion, seven hundred fourteen million, five hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 104729 209458 314187 418916 523645 628374 837832 942561 1047290 1256748 1570935 1675664 1885122 2094580 2513496 2827683 3141870 3351328 3770244 4189160 4712805 5026992 5655366 6283740 6702656 7540488 8378320 8483049 9425610 10053984 11310732 12567480 14138415 15080976 16756640 16966098 18851220 20107968 22621464 25134960 28276830 30161952 33513280 33932196 37702440 42415245 45242928 50269920 56553660 60323904 67864392 75404880 84830490 90485856 100539840 113107320 135728784 150809760 169660980 180971712 226214640 271457568 301619520 339321960 452429280 542915136 678643920 904858560 1357287840 2714575680