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27970080 = 253558271
BaseRepresentation
bin110101010110…
…0101000100000
31221122000201220
41222230220200
524130020310
62435255040
7456512265
oct152545040
957560656
1027970080
1114874376
12944a480
135a44058
143a0126c
1526c7670
hex1aaca20

27970080 has 48 divisors (see below), whose sum is σ = 88107264. Its totient is φ = 7458560.

The previous prime is 27970079. The next prime is 27970097. The reversal of 27970080 is 8007972.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 28656 + ... + 29615.

It is an arithmetic number, because the mean of its divisors is an integer number (1835568).

Almost surely, 227970080 is an apocalyptic number.

27970080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27970080 is an abundant number, since it is smaller than the sum of its proper divisors (60137184).

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

27970080 is a wasteful number, since it uses less digits than its factorization.

27970080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58289 (or 58281 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 27970080 is about 5288.6746922079. The cubic root of 27970080 is about 303.5506982318.

The spelling of 27970080 in words is "twenty-seven million, nine hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 58271 116542 174813 233084 291355 349626 466168 582710 699252 874065 932336 1165420 1398504 1748130 1864672 2330840 2797008 3496260 4661680 5594016 6992520 9323360 13985040 27970080