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27130480 = 24513191373
BaseRepresentation
bin110011101111…
…1101001110000
31220001101000121
41213133221300
523421133410
62405300024
7446414416
oct147375160
956041017
1027130480
1114350593
129104614
13580bb50
1438632b6
1525ad9da
hex19dfa70

27130480 has 80 divisors (see below), whose sum is σ = 71557920. Its totient is φ = 9483264.

The previous prime is 27130471. The next prime is 27130517. The reversal of 27130480 is 8403172.

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

It is a congruent number.

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, 19074 + ... + 20446.

It is an arithmetic number, because the mean of its divisors is an integer number (894474).

Almost surely, 227130480 is an apocalyptic number.

27130480 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 27130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35778960).

27130480 is an abundant number, since it is smaller than the sum of its proper divisors (44427440).

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

27130480 is a wasteful number, since it uses less digits than its factorization.

27130480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 27130480 is about 5208.6927342664. The cubic root of 27130480 is about 300.4824828775.

It can be divided in two parts, 271 and 30480, that multiplied together give a triangular number (8260080 = T4064).

The spelling of 27130480 in words is "twenty-seven million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1373 1520 1976 2470 2746 3952 4940 5492 6865 9880 10984 13730 17849 19760 21968 26087 27460 35698 52174 54920 71396 89245 104348 109840 130435 142792 178490 208696 260870 285584 339131 356980 417392 521740 678262 713960 1043480 1356524 1427920 1695655 2086960 2713048 3391310 5426096 6782620 13565240 27130480