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27906960 = 2435116279
BaseRepresentation
bin110101001110…
…1001110010000
31221111211011010
41222131032100
524121010320
62434050520
7456130254
oct152351620
957454133
1027906960
1114830a04
129419a40
135a213c3
1439c6264
1526b3ae0
hex1a9d390

27906960 has 40 divisors (see below), whose sum is σ = 86512320. Its totient is φ = 7441792.

The previous prime is 27906959. The next prime is 27906971. The reversal of 27906960 is 6960972.

It is a tau number, because it is divible by the number of its divisors (40).

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, 57900 + ... + 58379.

It is an arithmetic number, because the mean of its divisors is an integer number (2162808).

Almost surely, 227906960 is an apocalyptic number.

27906960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27906960 is an abundant number, since it is smaller than the sum of its proper divisors (58605360).

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

27906960 is a wasteful number, since it uses less digits than its factorization.

27906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116295 (or 116289 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 27906960 is about 5282.7038531419. The cubic root of 27906960 is about 303.3221855850.

The spelling of 27906960 in words is "twenty-seven million, nine hundred six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 116279 232558 348837 465116 581395 697674 930232 1162790 1395348 1744185 1860464 2325580 2790696 3488370 4651160 5581392 6976740 9302320 13953480 27906960