Search a number
-
+
27247000080 = 2435145977813
BaseRepresentation
bin11001011000000011…
…000011101000010000
32121022220001000110010
4121120003003220100
5421300213000310
620303405434520
71653130452006
oct313003035020
977286030403
1027247000080
1110612248493
125344b6ba40
132752c12971
14146697aa76
15a970c5320
hex6580c3a10

27247000080 has 80 divisors (see below), whose sum is σ = 84524679360. Its totient is φ = 7260793344.

The previous prime is 27247000061. The next prime is 27247000091. The reversal of 27247000080 is 8000074272.

27247000080 is a nontrivial binomial coefficient, being equal to C(233440, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311254 + ... + 389066.

It is an arithmetic number, because the mean of its divisors is an integer number (1056558492).

Almost surely, 227247000080 is an apocalyptic number.

27247000080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27247000080 is the 233439-th triangular number and also the 116720-th hexagonal number.

It is an amenable number.

27247000080 is an abundant number, since it is smaller than the sum of its proper divisors (57277679280).

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

27247000080 is a wasteful number, since it uses less digits than its factorization.

27247000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79288 (or 79282 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 27247000080 in words is "twenty-seven billion, two hundred forty-seven million, eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1459 2918 4377 5836 7295 8754 11672 14590 17508 21885 23344 29180 35016 43770 58360 70032 77813 87540 116720 155626 175080 233439 311252 350160 389065 466878 622504 778130 933756 1167195 1245008 1556260 1867512 2334390 3112520 3735024 4668780 6225040 9337560 18675120 113529167 227058334 340587501 454116668 567645835 681175002 908233336 1135291670 1362350004 1702937505 1816466672 2270583340 2724700008 3405875010 4541166680 5449400016 6811750020 9082333360 13623500040 27247000080