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19405980 = 22365113
BaseRepresentation
bin100101000000…
…1110010011100
31100111221000000
41022001302130
514431442410
61531534300
7323643126
oct112016234
940457000
1019405980
11aa55000
1265ba390
134035c39
142812216
151a84dc0
hex1281c9c

19405980 has 168 divisors, whose sum is σ = 67206384. Its totient is φ = 4704480.

The previous prime is 19405979. The next prime is 19405987. The reversal of 19405980 is 8950491.

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

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19405987) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1764175 + ... + 1764185.

It is an arithmetic number, because the mean of its divisors is an integer number (400038).

Almost surely, 219405980 is an apocalyptic number.

19405980 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 19405980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33603192).

19405980 is an abundant number, since it is smaller than the sum of its proper divisors (47800404).

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

19405980 is an equidigital number, since it uses as much as digits as its factorization.

19405980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 19405980 is about 4405.2219013348. The cubic root of 19405980 is about 268.7273440429.

The spelling of 19405980 in words is "nineteen million, four hundred five thousand, nine hundred eighty".