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1326948480 = 273451113179
BaseRepresentation
bin100111100010111…
…1010000010000000
310102110212222010000
41033011322002000
510204144322410
6335401040000
744611606314
oct11705720200
93373788100
101326948480
11621034040
12310486000
13181bb2020
14c8337b44
157b764dc0
hex4f17a080

1326948480 has 640 divisors, whose sum is σ = 5598331200. Its totient is φ = 295280640.

The previous prime is 1326948461. The next prime is 1326948529. The reversal of 1326948480 is 848496231.

It is a happy number.

1326948480 is a `hidden beast` number, since 1 + 32 + 69 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7413031 + ... + 7413209.

Almost surely, 21326948480 is an apocalyptic number.

1326948480 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 1326948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799165600).

1326948480 is an abundant number, since it is smaller than the sum of its proper divisors (4271382720).

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

1326948480 is a wasteful number, since it uses less digits than its factorization.

1326948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1326948480 is about 36427.3040451802. The cubic root of 1326948480 is about 1098.8827443902.

The spelling of 1326948480 in words is "one billion, three hundred twenty-six million, nine hundred forty-eight thousand, four hundred eighty".