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1369134720 = 27325251947
BaseRepresentation
bin101000110011011…
…0101011010000000
310112102021020202100
41101212311122000
510300444302340
6343505150400
745633311262
oct12146653200
93472236670
101369134720
116429281a8
1232262b400
1318a8629b5
14cdb99b32
15802e9830
hex519b5680

1369134720 has 192 divisors, whose sum is σ = 4751641440. Its totient is φ = 363264000.

The previous prime is 1369134719. The next prime is 1369134733. The reversal of 1369134720 is 274319631.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×13691347203 (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1445287 + ... + 1446233.

Almost surely, 21369134720 is an apocalyptic number.

1369134720 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 1369134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375820720).

1369134720 is an abundant number, since it is smaller than the sum of its proper divisors (3382506720).

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

1369134720 is a wasteful number, since it uses less digits than its factorization.

1369134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1369134720 is about 37001.8204957540. The cubic root of 1369134720 is about 1110.4066686198.

The spelling of 1369134720 in words is "one billion, three hundred sixty-nine million, one hundred thirty-four thousand, seven hundred twenty".