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18980864 = 2137331
BaseRepresentation
bin100100001101…
…0000000000000
31022201022211222
41020122000000
514324341424
61514454212
7320222540
oct110320000
938638758
1018980864
11a794671
126434368
133c175a6
142741320
1519ede5e
hex121a000

18980864 has 56 divisors (see below), whose sum is σ = 43513248. Its totient is φ = 8110080.

The previous prime is 18980839. The next prime is 18980869. The reversal of 18980864 is 46808981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18980869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57179 + ... + 57509.

Almost surely, 218980864 is an apocalyptic number.

18980864 is a gapful number since it is divisible by the number (14) 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 18980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21756624).

18980864 is an abundant number, since it is smaller than the sum of its proper divisors (24532384).

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

18980864 is an frugal number, since it uses more digits than its factorization.

18980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 18980864 is about 4356.7033408301. The cubic root of 18980864 is about 266.7505513876.

The spelling of 18980864 in words is "eighteen million, nine hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 331 448 512 662 896 1024 1324 1792 2048 2317 2648 3584 4096 4634 5296 7168 8192 9268 10592 14336 18536 21184 28672 37072 42368 57344 74144 84736 148288 169472 296576 338944 593152 677888 1186304 1355776 2372608 2711552 4745216 9490432 18980864