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18984420 = 223257131961
BaseRepresentation
bin100100001101…
…0110111100100
31022201111201200
41020122313210
514330000140
61514522500
7320236110
oct110326744
938644650
1018984420
11a797304
126436430
133c190b0
142742740
151a00030
hex121ade4

18984420 has 288 divisors, whose sum is σ = 75828480. Its totient is φ = 3732480.

The previous prime is 18984409. The next prime is 18984437. The reversal of 18984420 is 2448981.

18984420 = T1024 + T1025 + ... + T1058.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311190 + ... + 311250.

Almost surely, 218984420 is an apocalyptic number.

18984420 is a gapful number since it is divisible by the number (10) 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 18984420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37914240).

18984420 is an abundant number, since it is smaller than the sum of its proper divisors (56844060).

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

18984420 is a wasteful number, since it uses less digits than its factorization.

18984420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18984420 is about 4357.1114284581. Note that the first 3 decimals coincide. The cubic root of 18984420 is about 266.7672086155.

The spelling of 18984420 in words is "eighteen million, nine hundred eighty-four thousand, four hundred twenty".