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1423759680 = 26345721959
BaseRepresentation
bin101010011011100…
…1101100101000000
310200020001111010000
41110313031211000
510403440302210
6353140040000
750165520600
oct12467154500
93606044100
101423759680
116707477a2
12338993000
13198c7a265
14d7138c00
1584ed9ac0
hex54dcd940

1423759680 has 840 divisors, whose sum is σ = 6306616800. Its totient is φ = 303077376.

The previous prime is 1423759679. The next prime is 1423759691. The reversal of 1423759680 is 869573241.

1423759680 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

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

1423759680 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24131491 + ... + 24131549.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1423759680 = 2847519360, but 3⋅1423759680 = 4271279040 is not.

Almost surely, 21423759680 is an apocalyptic number.

1423759680 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 1423759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153308400).

1423759680 is an abundant number, since it is smaller than the sum of its proper divisors (4882857120).

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

1423759680 is a wasteful number, since it uses less digits than its factorization.

1423759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1423759680 is about 37732.7401602375. The cubic root of 1423759680 is about 1124.9819730445.

The spelling of 1423759680 in words is "one billion, four hundred twenty-three million, seven hundred fifty-nine thousand, six hundred eighty".