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1681420032 = 2835151179
BaseRepresentation
bin110010000111000…
…0110111100000000
311100011212222200000
41210032012330000
511420420420112
6434502400000
756444556135
oct14416067400
94304788600
101681420032
11793132836
123ab130000
1320a4725c6
1411d44a58c
159c9337dc
hex64386f00

1681420032 has 216 divisors, whose sum is σ = 5089069440. Its totient is φ = 553651200.

The previous prime is 1681419979. The next prime is 1681420051. The reversal of 1681420032 is 2300241861.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 1681419978 and 1681420005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9393319 + ... + 9393497.

Almost surely, 21681420032 is an apocalyptic number.

1681420032 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 1681420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544534720).

1681420032 is an abundant number, since it is smaller than the sum of its proper divisors (3407649408).

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

1681420032 is an equidigital number, since it uses as much as digits as its factorization.

1681420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1681420032 is about 41005.1220215231. The cubic root of 1681420032 is about 1189.1192390585.

Adding to 1681420032 its reverse (2300241861), we get a palindrome (3981661893).

The spelling of 1681420032 in words is "one billion, six hundred eighty-one million, four hundred twenty thousand, thirty-two".