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1396074240 = 283251123479
BaseRepresentation
bin101001100110110…
…0110011100000000
310121021221220211100
41103031212130000
510324343333430
6350310414400
746411302201
oct12315463400
93537856740
101396074240
11657058270
1232b661400
13193305942
14d35ad5a8
158286b960
hex53366700

1396074240 has 432 divisors, whose sum is σ = 5509969920. Its totient is φ = 323051520.

The previous prime is 1396074233. The next prime is 1396074241. The reversal of 1396074240 is 424706931.

1396074240 is a `hidden beast` number, since 1 + 3 + 9 + 607 + 4 + 2 + 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 = 1396074195 and 1396074204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396074241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2914321 + ... + 2914799.

It is an arithmetic number, because the mean of its divisors is an integer number (12754560).

Almost surely, 21396074240 is an apocalyptic number.

1396074240 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 1396074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754984960).

1396074240 is an abundant number, since it is smaller than the sum of its proper divisors (4113895680).

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

1396074240 is a wasteful number, since it uses less digits than its factorization.

1396074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1396074240 is about 37364.0768653529. The cubic root of 1396074240 is about 1117.6423193064.

The spelling of 1396074240 in words is "one billion, three hundred ninety-six million, seventy-four thousand, two hundred forty".