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1380648960 = 21132571211
BaseRepresentation
bin101001001001011…
…0000100000000000
310120012221020022200
41102102300200000
510311421231320
6345000033200
746133215425
oct12222604000
93505836280
101380648960
11649381aa9
12326462800
13190064862
14d1515d4c
1581321290
hex524b0800

1380648960 has 288 divisors, whose sum is σ = 4875474240. Its totient is φ = 361267200.

The previous prime is 1380648959. The next prime is 1380648961. The reversal of 1380648960 is 698460831.

It is an interprime number because it is at equal distance from previous prime (1380648959) and next prime (1380648961).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1380648961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6543255 + ... + 6543465.

It is an arithmetic number, because the mean of its divisors is an integer number (16928730).

Almost surely, 21380648960 is an apocalyptic number.

1380648960 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 1380648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437737120).

1380648960 is an abundant number, since it is smaller than the sum of its proper divisors (3494825280).

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

1380648960 is a wasteful number, since it uses less digits than its factorization.

1380648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1380648960 is about 37157.0849233360. The cubic root of 1380648960 is about 1113.5107736675.

The spelling of 1380648960 in words is "one billion, three hundred eighty million, six hundred forty-eight thousand, nine hundred sixty".