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18480096 = 253373293
BaseRepresentation
bin100011001111…
…1101111100000
31021202212221000
41012133233200
514212330341
61500032000
7313035555
oct106375740
937685830
1018480096
11a482408
126232600
133aa068b
142650a2c
1519508b6
hex119fbe0

18480096 has 96 divisors (see below), whose sum is σ = 54825120. Its totient is φ = 6054912.

The previous prime is 18480089. The next prime is 18480101. The reversal of 18480096 is 69008481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18480096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62926 + ... + 63218.

It is an arithmetic number, because the mean of its divisors is an integer number (571095).

Almost surely, 218480096 is an apocalyptic number.

18480096 is a gapful number since it is divisible by the number (16) 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 18480096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27412560).

18480096 is an abundant number, since it is smaller than the sum of its proper divisors (36345024).

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

18480096 is a wasteful number, since it uses less digits than its factorization.

18480096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18480096 is about 4298.8482178370. The cubic root of 18480096 is about 264.3837394626.

The spelling of 18480096 in words is "eighteen million, four hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 293 432 438 584 586 657 864 876 879 1168 1172 1314 1752 1758 1971 2336 2344 2628 2637 3504 3516 3942 4688 5256 5274 7008 7032 7884 7911 9376 10512 10548 14064 15768 15822 21024 21096 21389 28128 31536 31644 42192 42778 63072 63288 64167 84384 85556 126576 128334 171112 192501 253152 256668 342224 385002 513336 577503 684448 770004 1026672 1155006 1540008 2053344 2310012 3080016 4620024 6160032 9240048 18480096