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1368613440 = 263252232131
BaseRepresentation
bin101000110010011…
…0110001001000000
310112101021202200200
41101210312021000
510300331112230
6343450045200
745626010435
oct12144661100
93471252620
101368613440
11642601597
12322419800
1318a70c64c
14cdaa1b8c
1580245160
hex51936240

1368613440 has 168 divisors, whose sum is σ = 4730788608. Its totient is φ = 363156480.

The previous prime is 1368613439. The next prime is 1368613447. The reversal of 1368613440 is 443168631.

It is a happy number.

1368613440 is a `hidden beast` number, since 1 + 36 + 8 + 613 + 4 + 4 + 0 = 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 = 1368613395 and 1368613404.

It is not an unprimeable number, because it can be changed into a prime (1368613447) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 641175 + ... + 643305.

It is an arithmetic number, because the mean of its divisors is an integer number (28159456).

Almost surely, 21368613440 is an apocalyptic number.

1368613440 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 1368613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365394304).

1368613440 is an abundant number, since it is smaller than the sum of its proper divisors (3362175168).

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

1368613440 is a wasteful number, since it uses less digits than its factorization.

1368613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1368613440 is about 36994.7758474085. The cubic root of 1368613440 is about 1110.2657264962.

The spelling of 1368613440 in words is "one billion, three hundred sixty-eight million, six hundred thirteen thousand, four hundred forty".