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18783072 = 253272113
BaseRepresentation
bin100011110100…
…1101101100000
31022100021112100
41013221231200
514302024242
61510330400
7315440100
oct107515540
938307470
1018783072
11a66a000
126359a00
133b78559
1426cd200
1519b054c
hex11e9b60

18783072 has 216 divisors, whose sum is σ = 68343912. Its totient is φ = 4878720.

The previous prime is 18783049. The next prime is 18783109. The reversal of 18783072 is 27038781.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1707547 + ... + 1707557.

It is an arithmetic number, because the mean of its divisors is an integer number (316407).

Almost surely, 218783072 is an apocalyptic number.

18783072 is a gapful number since it is divisible by the number (12) 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 18783072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34171956).

18783072 is an abundant number, since it is smaller than the sum of its proper divisors (49560840).

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

18783072 is a wasteful number, since it uses less digits than its factorization.

18783072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 18783072 is about 4333.9441620768. The cubic root of 18783072 is about 265.8207471911.

It can be divided in two parts, 1878 and 3072, that added together give a triangular number (4950 = T99).

The spelling of 18783072 in words is "eighteen million, seven hundred eighty-three thousand, seventy-two".