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1378326960 = 2432531371669
BaseRepresentation
bin101001000100111…
…1001100110110000
310120001120021010200
41102021321212300
510310322430320
6344434155200
746104404643
oct12211714660
93501507120
101378326960
1164803649a
12325722b00
1318c7309aa
14d10ada5a
1581013290
hex522799b0

1378326960 has 240 divisors, whose sum is σ = 4910280960. Its totient is φ = 345876480.

The previous prime is 1378326949. The next prime is 1378327019. The reversal of 1378326960 is 696238731.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 825006 + ... + 826674.

It is an arithmetic number, because the mean of its divisors is an integer number (20459504).

Almost surely, 21378326960 is an apocalyptic number.

1378326960 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 1378326960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455140480).

1378326960 is an abundant number, since it is smaller than the sum of its proper divisors (3531954000).

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

1378326960 is a wasteful number, since it uses less digits than its factorization.

1378326960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1378326960 is about 37125.8260514160. The cubic root of 1378326960 is about 1112.8861826396.

The spelling of 1378326960 in words is "one billion, three hundred seventy-eight million, three hundred twenty-six thousand, nine hundred sixty".