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1381026240 = 263351121321
BaseRepresentation
bin101001001010000…
…1100100111000000
310120020122101212000
41102110030213000
510312020314430
6345012104000
746136346366
oct12224144700
93506571760
101381026240
1164960a500
12326605000
131901674b9
14d15b3636
1581397e60
hex5250c9c0

1381026240 has 336 divisors, whose sum is σ = 5359176480. Its totient is φ = 334540800.

The previous prime is 1381026217. The next prime is 1381026253. The reversal of 1381026240 is 426201831.

1381026240 is a `hidden beast` number, since 1 + 38 + 1 + 0 + 2 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044780 + ... + 1046100.

It is an arithmetic number, because the mean of its divisors is an integer number (15949930).

Almost surely, 21381026240 is an apocalyptic number.

1381026240 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 1381026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679588240).

1381026240 is an abundant number, since it is smaller than the sum of its proper divisors (3978150240).

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

1381026240 is a wasteful number, since it uses less digits than its factorization.

1381026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1381026240 is about 37162.1614010811. The cubic root of 1381026240 is about 1113.6121914539.

The spelling of 1381026240 in words is "one billion, three hundred eighty-one million, twenty-six thousand, two hundred forty".