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427783680 = 293452063
BaseRepresentation
bin11001011111110…
…111011000000000
31002210221122220000
4121133313120000
51334003034210
6110240520000
713413046512
oct3137673000
91083848800
10427783680
111aa522235
12bb320000
136a81b84c
1440b57bb2
1527850ac0
hex197f7600

427783680 has 200 divisors, whose sum is σ = 1532928672. Its totient is φ = 114020352.

The previous prime is 427783661. The next prime is 427783691. The reversal of 427783680 is 86387724.

It is a happy number.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206329 + ... + 208391.

Almost surely, 2427783680 is an apocalyptic number.

427783680 is a gapful number since it is divisible by the number (40) 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 427783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766464336).

427783680 is an abundant number, since it is smaller than the sum of its proper divisors (1105144992).

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

427783680 is an equidigital number, since it uses as much as digits as its factorization.

427783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 427783680 is about 20682.9320938788. The cubic root of 427783680 is about 753.4852192422.

The spelling of 427783680 in words is "four hundred twenty-seven million, seven hundred eighty-three thousand, six hundred eighty".