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1368109440 = 2735519463
BaseRepresentation
bin101000110001011…
…1011000110000000
310112100100011100000
41101202323012000
510300214000230
6343431200000
745621511155
oct12142730600
93470304300
101368109440
11642297965
12322216000
1318a594119
14cd9b022c
1580195b60
hex518bb180

1368109440 has 384 divisors, whose sum is σ = 5168217600. Its totient is φ = 344881152.

The previous prime is 1368109427. The next prime is 1368109469. The reversal of 1368109440 is 449018631.

1368109440 is a `hidden beast` number, since 136 + 81 + 0 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13681094402 = 3743446879634227200, which contains 22 as substring.

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 = 1368109395 and 1368109404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2954649 + ... + 2955111.

It is an arithmetic number, because the mean of its divisors is an integer number (13458900).

Almost surely, 21368109440 is an apocalyptic number.

1368109440 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 1368109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584108800).

1368109440 is an abundant number, since it is smaller than the sum of its proper divisors (3800108160).

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

1368109440 is an equidigital number, since it uses as much as digits as its factorization.

1368109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1368109440 is about 36987.9634475866. The cubic root of 1368109440 is about 1110.1294224548.

The spelling of 1368109440 in words is "one billion, three hundred sixty-eight million, one hundred nine thousand, four hundred forty".