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1369779840 = 2732511131663
BaseRepresentation
bin101000110100101…
…0010111010000000
310112110111000200200
41101221102322000
510301130423330
6343531045200
745641636142
oct12151227200
93473430620
101369779840
11643228960
123228a0800
1318aa2a520
14cdcc6c92
15803c5a60
hex51a52e80

1369779840 has 384 divisors, whose sum is σ = 5560289280. Its totient is φ = 306339840.

The previous prime is 1369779839. The next prime is 1369779847. The reversal of 1369779840 is 489779631.

It is a happy number.

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

It is a super-3 number, since 3×13697798403 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1369779847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822849 + ... + 824511.

It is an arithmetic number, because the mean of its divisors is an integer number (14479920).

Almost surely, 21369779840 is an apocalyptic number.

1369779840 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 1369779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780144640).

1369779840 is an abundant number, since it is smaller than the sum of its proper divisors (4190509440).

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

1369779840 is a wasteful number, since it uses less digits than its factorization.

1369779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 1369779840 is about 37010.5368780297. The cubic root of 1369779840 is about 1110.5810447076.

The spelling of 1369779840 in words is "one billion, three hundred sixty-nine million, seven hundred seventy-nine thousand, eight hundred forty".