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681732480 = 273511132191
BaseRepresentation
bin101000101000100…
…110100110000000
31202111210121011010
4220220212212000
52344010414410
6151351520520
722615426152
oct5050464600
91674717133
10681732480
1131a902780
12170389140
13ab314700
1466780ad2
153ecb4c20
hex28a26980

681732480 has 384 divisors, whose sum is σ = 2580387840. Its totient is φ = 151756800.

The previous prime is 681732431. The next prime is 681732497. The reversal of 681732480 is 84237186.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3569185 + ... + 3569375.

It is an arithmetic number, because the mean of its divisors is an integer number (6719760).

Almost surely, 2681732480 is an apocalyptic number.

681732480 is a gapful number since it is divisible by the number (60) 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 681732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290193920).

681732480 is an abundant number, since it is smaller than the sum of its proper divisors (1898655360).

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

681732480 is a wasteful number, since it uses less digits than its factorization.

681732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 681732480 is about 26110.0072769044. The cubic root of 681732480 is about 880.1121069297.

The spelling of 681732480 in words is "six hundred eighty-one million, seven hundred thirty-two thousand, four hundred eighty".