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1395741024 = 2533312412
BaseRepresentation
bin101001100110001…
…0101000101100000
310121021022222202000
41103030111011200
510324302203044
6350255324000
746405413546
oct12314250540
93537288660
101395741024
1165694a987
1232b520600
1319321a082
14d3523d96
1582802d69
hex53315160

1395741024 has 216 divisors, whose sum is σ = 4311566280. Its totient is φ = 439257600.

The previous prime is 1395741023. The next prime is 1395741041. The reversal of 1395741024 is 4201475931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1395741024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395741023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34042444 + ... + 34042484.

It is an arithmetic number, because the mean of its divisors is an integer number (19960955).

Almost surely, 21395741024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395741024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155783140).

1395741024 is an abundant number, since it is smaller than the sum of its proper divisors (2915825256).

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

1395741024 is an equidigital number, since it uses as much as digits as its factorization.

1395741024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1395741024 is about 37359.6175569290. The cubic root of 1395741024 is about 1117.5533923411.

The spelling of 1395741024 in words is "one billion, three hundred ninety-five million, seven hundred forty-one thousand, twenty-four".