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27934980 = 2235676949
BaseRepresentation
bin110101010010…
…0000100000100
31221120020120220
41222210010010
524122404410
62434424340
7456305043
oct152440404
957506526
1027934980
111484aa67
1294320b0
135a31098
1439d255a
1526bc070
hex1aa4104

27934980 has 48 divisors (see below), whose sum is σ = 79396800. Its totient is φ = 7337088.

The previous prime is 27934957. The next prime is 27935003. The reversal of 27934980 is 8943972.

It is an interprime number because it is at equal distance from previous prime (27934957) and next prime (27935003).

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, 546 + ... + 7494.

It is an arithmetic number, because the mean of its divisors is an integer number (1654100).

Almost surely, 227934980 is an apocalyptic number.

27934980 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 27934980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39698400).

27934980 is an abundant number, since it is smaller than the sum of its proper divisors (51461820).

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

27934980 is a wasteful number, since it uses less digits than its factorization.

27934980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 27934980 is about 5285.3552387706. The cubic root of 27934980 is about 303.4236685690.

The spelling of 27934980 in words is "twenty-seven million, nine hundred thirty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 6949 13898 20847 27796 34745 41694 69490 83388 104235 138980 208470 416940 465583 931166 1396749 1862332 2327915 2793498 4655830 5586996 6983745 9311660 13967490 27934980