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21180096 = 2633717103
BaseRepresentation
bin101000011001…
…0111011000000
31110212001122000
41100302323000
520410230341
62033544000
7345012360
oct120627300
943761560
1021180096
1110a56a13
127115000
134507602
142b549a0
151cd58b6
hex1432ec0

21180096 has 224 divisors, whose sum is σ = 76078080. Its totient is φ = 5640192.

The previous prime is 21180083. The next prime is 21180101. The reversal of 21180096 is 69008112.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205581 + ... + 205683.

Almost surely, 221180096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38039040).

21180096 is an abundant number, since it is smaller than the sum of its proper divisors (54897984).

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

21180096 is a wasteful number, since it uses less digits than its factorization.

21180096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 21180096 is about 4602.1838294445. The cubic root of 21180096 is about 276.6788581908.

The spelling of 21180096 in words is "twenty-one million, one hundred eighty thousand, ninety-six".