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18049680 = 24325114353
BaseRepresentation
bin100010011011…
…0101010010000
31020222000111200
41010312222100
514110042210
61442511200
7306263655
oct104665220
936860450
1018049680
11a208aa0
126065500
13397c7ac
14257bc2c
1518b80c0
hex1136a90

18049680 has 240 divisors, whose sum is σ = 68942016. Its totient is φ = 4193280.

The previous prime is 18049607. The next prime is 18049697. The reversal of 18049680 is 8694081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340534 + ... + 340586.

Almost surely, 218049680 is an apocalyptic number.

18049680 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 18049680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34471008).

18049680 is an abundant number, since it is smaller than the sum of its proper divisors (50892336).

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

18049680 is a wasteful number, since it uses less digits than its factorization.

18049680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

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

The square root of 18049680 is about 4248.4914969904. The cubic root of 18049680 is about 262.3150261491.

The spelling of 18049680 in words is "eighteen million, forty-nine thousand, six hundred eighty".