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1381895424 = 28337134
BaseRepresentation
bin101001001011110…
…0000110100000000
310120022021120011000
41102113200310000
510312231123144
6345042452000
746146626430
oct12227406400
93508246130
101381895424
1164a053538
12326964000
131903b0000
14d175c2c0
15814ba769
hex525e0d00

1381895424 has 360 divisors, whose sum is σ = 5059472320. Its totient is φ = 364455936.

The previous prime is 1381895381. The next prime is 1381895461. The reversal of 1381895424 is 4245981831.

1381895424 is a `hidden beast` number, since 138 + 1 + 8 + 95 + 424 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1381895424.

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 39 ways as a sum of consecutive naturals, for example, 106299642 + ... + 106299654.

Almost surely, 21381895424 is an apocalyptic number.

1381895424 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 1381895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529736160).

1381895424 is an abundant number, since it is smaller than the sum of its proper divisors (3677576896).

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

1381895424 is an frugal number, since it uses more digits than its factorization.

1381895424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 25 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 1381895424 is about 37173.8540374818. The cubic root of 1381895424 is about 1113.8457691798.

The spelling of 1381895424 in words is "one billion, three hundred eighty-one million, eight hundred ninety-five thousand, four hundred twenty-four".