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2700000072 = 2332711487013
BaseRepresentation
bin1010000011101110…
…1011101101001000
320222011112012210200
42200323223231020
521012200000242
61123530212200
7123623423220
oct24073535510
96864465720
102700000072
111166097020
12634284060
133404b67a3
141b8833080
1510c08504c
hexa0eebb48

2700000072 has 96 divisors (see below), whose sum is σ = 9116902080. Its totient is φ = 701297280.

The previous prime is 2700000071. The next prime is 2700000077.

2700000072 is nontrivially palindromic in base 10.

2700000072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2700000071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237963 + ... + 249050.

It is an arithmetic number, because the mean of its divisors is an integer number (94967730).

Almost surely, 22700000072 is an apocalyptic number.

2700000072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2700000072 is an abundant number, since it is smaller than the sum of its proper divisors (6416902008).

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

2700000072 is a wasteful number, since it uses less digits than its factorization.

2700000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487043 (or 487036 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 2700000072 is about 51961.5249198866. The cubic root of 2700000072 is about 1392.4766624614.

It can be divided in two parts, 27000000 and 72, that added together give a palindrome (27000072).

The spelling of 2700000072 in words is "two billion, seven hundred million, seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 487013 974026 1461039 1948052 2922078 3409091 3896104 4383117 5357143 5844156 6818182 8766234 10227273 10714286 11688312 13636364 16071429 17532468 20454546 21428572 27272728 30681819 32142858 35064936 37500001 40909092 42857144 48214287 61363638 64285716 75000002 81818184 96428574 112500003 122727276 128571432 150000004 192857148 225000006 245454552 300000008 337500009 385714296 450000012 675000018 900000024 1350000036 2700000072