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27930720 = 253558189
BaseRepresentation
bin110101010001…
…1000001100000
31221120000202010
41222203001200
524122240340
62434352520
7456256446
oct152430140
957500663
1027930720
1114847844
12942b740
135a2c16c
1439d0b96
1526bab80
hex1aa3060

27930720 has 48 divisors (see below), whose sum is σ = 87983280. Its totient is φ = 7448064.

The previous prime is 27930719. The next prime is 27930731. The reversal of 27930720 is 2703972.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 28615 + ... + 29574.

It is an arithmetic number, because the mean of its divisors is an integer number (1832985).

Almost surely, 227930720 is an apocalyptic number.

27930720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27930720 is an abundant number, since it is smaller than the sum of its proper divisors (60052560).

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

27930720 is a wasteful number, since it uses less digits than its factorization.

27930720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58207 (or 58199 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 27930720 is about 5284.9522230575. The cubic root of 27930720 is about 303.4082440542.

The spelling of 27930720 in words is "twenty-seven million, nine hundred thirty thousand, seven hundred twenty".

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 58189 116378 174567 232756 290945 349134 465512 581890 698268 872835 931024 1163780 1396536 1745670 1862048 2327560 2793072 3491340 4655120 5586144 6982680 9310240 13965360 27930720