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1380994560 = 29325115449
BaseRepresentation
bin101001001010000…
…0100111000000000
310120020120210101200
41102110010320000
510312013311220
6345011301200
746136155131
oct12224047000
93506523350
101380994560
11649598720
123265aa800
13190155c5a
14d15a5c88
158138d890
hex52504e00

1380994560 has 240 divisors, whose sum is σ = 5218527600. Its totient is φ = 334725120.

The previous prime is 1380994547. The next prime is 1380994619. The reversal of 1380994560 is 654990831.

It is a happy number.

1380994560 is a `hidden beast` number, since 1 + 3 + 80 + 9 + 9 + 4 + 560 = 666.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250716 + ... + 256164.

It is an arithmetic number, because the mean of its divisors is an integer number (21743865).

Almost surely, 21380994560 is an apocalyptic number.

1380994560 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 1380994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609263800).

1380994560 is an abundant number, since it is smaller than the sum of its proper divisors (3837533040).

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

1380994560 is a wasteful number, since it uses less digits than its factorization.

1380994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1380994560 is about 37161.7351586279. The cubic root of 1380994560 is about 1113.6036761670.

The spelling of 1380994560 in words is "one billion, three hundred eighty million, nine hundred ninety-four thousand, five hundred sixty".