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27120980 = 22519149479
BaseRepresentation
bin110011101110…
…1010101010100
31220000212222202
41213131111110
523420332410
62405144032
7446344625
oct147352524
956025882
1027120980
1114344437
1290bb018
135807723
14385da4c
1525aaca5
hex19dd554

27120980 has 48 divisors (see below), whose sum is σ = 60480000. Its totient is φ = 10187136.

The previous prime is 27120971. The next prime is 27120983. The reversal of 27120980 is 8902172.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27120983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56381 + ... + 56859.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 227120980 is an apocalyptic number.

27120980 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 27120980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240000).

27120980 is an abundant number, since it is smaller than the sum of its proper divisors (33359020).

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

27120980 is a wasteful number, since it uses less digits than its factorization.

27120980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 27120980 is about 5207.7807173498. The cubic root of 27120980 is about 300.4474065005.

The spelling of 27120980 in words is "twenty-seven million, one hundred twenty thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 149 190 298 380 479 596 745 958 1490 1916 2395 2831 2980 4790 5662 9101 9580 11324 14155 18202 28310 36404 45505 56620 71371 91010 142742 182020 285484 356855 713710 1356049 1427420 2712098 5424196 6780245 13560490 27120980