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12072080 = 245150901
BaseRepresentation
bin101110000011…
…010010010000
3211201022210002
4232003102100
511042301310
61110425132
7204416366
oct56032220
924638702
1012072080
1168a5a29
1240621a8
132668a57
141863636
1510d6da5
hexb83490

12072080 has 20 divisors (see below), whose sum is σ = 28067772. Its totient is φ = 4828800.

The previous prime is 12072037. The next prime is 12072119. The reversal of 12072080 is 8027021.

It can be written as a sum of positive squares in 2 ways, for example, as 6615184 + 5456896 = 2572^2 + 2336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75371 + ... + 75530.

Almost surely, 212072080 is an apocalyptic number.

12072080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12072080 is an abundant number, since it is smaller than the sum of its proper divisors (15995692).

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

12072080 is a wasteful number, since it uses less digits than its factorization.

12072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150914 (or 150908 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 12072080 is about 3474.4898906170. The cubic root of 12072080 is about 229.4003282125.

The spelling of 12072080 in words is "twelve million, seventy-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 150901 301802 603604 754505 1207208 1509010 2414416 3018020 6036040 12072080