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1381458240 = 26345223239
BaseRepresentation
bin101001001010111…
…0110000101000000
310120021110100110000
41102111312011000
510312123130430
6345025240000
746143126021
oct12225660500
93507410400
101381458240
11649885028
12326793000
13190289016
14d1686c48
1581430e60
hex52576140

1381458240 has 280 divisors, whose sum is σ = 4956779520. Its totient is φ = 365202432.

The previous prime is 1381458209. The next prime is 1381458241. The reversal of 1381458240 is 428541831.

1381458240 is a `hidden beast` number, since 1 + 38 + 1 + 4 + 582 + 40 = 666.

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 = 1381458195 and 1381458204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381458241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5780041 + ... + 5780279.

It is an arithmetic number, because the mean of its divisors is an integer number (17702784).

Almost surely, 21381458240 is an apocalyptic number.

1381458240 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 1381458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478389760).

1381458240 is an abundant number, since it is smaller than the sum of its proper divisors (3575321280).

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

1381458240 is a wasteful number, since it uses less digits than its factorization.

1381458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1381458240 is about 37167.9733103649. The cubic root of 1381458240 is about 1113.7282960094.

The spelling of 1381458240 in words is "one billion, three hundred eighty-one million, four hundred fifty-eight thousand, two hundred forty".