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18980400 = 2435215817
BaseRepresentation
bin100100001100…
…1111000110000
31022201022012210
41020121320300
514324333100
61514452120
7320221305
oct110317060
938638183
1018980400
11a79428a
126434040
133c1730a
1427410ac
1519edc50
hex1219e30

18980400 has 60 divisors (see below), whose sum is σ = 60804392. Its totient is φ = 5061120.

The previous prime is 18980393. The next prime is 18980431. The reversal of 18980400 is 408981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6709 + ... + 9108.

Almost surely, 218980400 is an apocalyptic number.

18980400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18980400 is an abundant number, since it is smaller than the sum of its proper divisors (41823992).

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

18980400 is a wasteful number, since it uses less digits than its factorization.

18980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15838 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 18980400 is about 4356.6500892314. The cubic root of 18980400 is about 266.7483777376.

The spelling of 18980400 in words is "eighteen million, nine hundred eighty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 15817 31634 47451 63268 79085 94902 126536 158170 189804 237255 253072 316340 379608 395425 474510 632680 759216 790850 949020 1186275 1265360 1581700 1898040 2372550 3163400 3796080 4745100 6326800 9490200 18980400