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19678680 = 23335719137
BaseRepresentation
bin100101100010…
…0010111011000
31101000210002000
41023010113120
520014204210
61541441000
7326160150
oct113042730
941023060
1019678680
111012097a
126710160
1341000b8
142883760
151adaac0
hex12c45d8

19678680 has 256 divisors, whose sum is σ = 79488000. Its totient is φ = 4230144.

The previous prime is 19678679. The next prime is 19678693. The reversal of 19678680 is 8687691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143572 + ... + 143708.

It is an arithmetic number, because the mean of its divisors is an integer number (310500).

Almost surely, 219678680 is an apocalyptic number.

19678680 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 19678680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39744000).

19678680 is an abundant number, since it is smaller than the sum of its proper divisors (59809320).

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

19678680 is a wasteful number, since it uses less digits than its factorization.

19678680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 19678680 is about 4436.0658245793. The cubic root of 19678680 is about 269.9802454683.

The spelling of 19678680 in words is "nineteen million, six hundred seventy-eight thousand, six hundred eighty".