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19241712 = 243572101
BaseRepresentation
bin100100101100…
…1101011110000
31100012120200000
41021121223300
514411213322
61524230000
7322360200
oct111315360
940176600
1019241712
11a952646
12653b300
133ca9239
1427ac400
151a513ac
hex1259af0

19241712 has 180 divisors, whose sum is σ = 65605176. Its totient is φ = 5443200.

The previous prime is 19241707. The next prime is 19241713. The reversal of 19241712 is 21714291.

It is a super-4 number, since 4×192417124 (a number of 30 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19241713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190462 + ... + 190562.

Almost surely, 219241712 is an apocalyptic number.

19241712 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 19241712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32802588).

19241712 is an abundant number, since it is smaller than the sum of its proper divisors (46363464).

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

19241712 is a wasteful number, since it uses less digits than its factorization.

19241712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 19241712 is about 4386.5375867534. The cubic root of 19241712 is about 267.9669521884.

The spelling of 19241712 in words is "nineteen million, two hundred forty-one thousand, seven hundred twelve".