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2730479680 = 26512767187
BaseRepresentation
bin1010001010111111…
…1101000001000000
321001021212201222001
42202233331001000
521043000322210
61130535353344
7124443460105
oct24257750100
97037781861
102730479680
111181314885
12642522854
133468c8b66
141bc8c8aac
1510eaa603a
hexa2bfd040

2730479680 has 56 divisors (see below), whose sum is σ = 6553248768. Its totient is φ = 1083575808.

The previous prime is 2730479669. The next prime is 2730479737. The reversal of 2730479680 is 869740372.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2730479680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7047 + ... + 74233.

Almost surely, 22730479680 is an apocalyptic number.

2730479680 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 2730479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276624384).

2730479680 is an abundant number, since it is smaller than the sum of its proper divisors (3822769088).

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

2730479680 is a wasteful number, since it uses less digits than its factorization.

2730479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67331 (or 67321 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 2730479680 is about 52253.9920006118. The cubic root of 2730479680 is about 1397.6968389633.

The spelling of 2730479680 in words is "two billion, seven hundred thirty million, four hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1270 2032 2540 4064 5080 8128 10160 20320 40640 67187 134374 268748 335935 537496 671870 1074992 1343740 2149984 2687480 4299968 5374960 8532749 10749920 17065498 21499840 34130996 42663745 68261992 85327490 136523984 170654980 273047968 341309960 546095936 682619920 1365239840 2730479680