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1380524544 = 29327127337
BaseRepresentation
bin101001001001001…
…0010001000000000
310120012200220122200
41102102102020000
510311403241134
6344553233200
746132156620
oct12222221000
93505626580
101380524544
116492a7583
12326402800
13190020039
14d14c2880
15812e9499
hex52492200

1380524544 has 240 divisors, whose sum is σ = 4602943488. Its totient is φ = 390168576.

The previous prime is 1380524531. The next prime is 1380524573. The reversal of 1380524544 is 4454250831.

It is a happy number.

1380524544 is a `hidden beast` number, since 1 + 3 + 80 + 524 + 54 + 4 = 666.

It is a super-3 number, since 3×13805245443 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1380524499 and 1380524508.

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, 4096344 + ... + 4096680.

Almost surely, 21380524544 is an apocalyptic number.

1380524544 is a gapful number since it is divisible by the number (14) 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 1380524544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301471744).

1380524544 is an abundant number, since it is smaller than the sum of its proper divisors (3222418944).

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

1380524544 is a wasteful number, since it uses less digits than its factorization.

1380524544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1380524544 is about 37155.4106961557. The cubic root of 1380524544 is about 1113.4773249725.

The spelling of 1380524544 in words is "one billion, three hundred eighty million, five hundred twenty-four thousand, five hundred forty-four".