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1369760128 = 27113726293
BaseRepresentation
bin101000110100100…
…1110000110000000
310112110110000122121
41101221032012000
510301124311003
6343530414024
745641524522
oct12151160600
93473400577
101369760128
11643215070
12322891314
1318aa21569
14cdcbda12
15803becbd
hex51a4e180

1369760128 has 64 divisors (see below), whose sum is σ = 3057466320. Its totient is φ = 605767680.

The previous prime is 1369760087. The next prime is 1369760149. The reversal of 1369760128 is 8210679631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38950 + ... + 65242.

Almost surely, 21369760128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1369760128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528733160).

1369760128 is an abundant number, since it is smaller than the sum of its proper divisors (1687706192).

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

1369760128 is a wasteful number, since it uses less digits than its factorization.

1369760128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26355 (or 26343 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 1369760128 is about 37010.2705745311. The cubic root of 1369760128 is about 1110.5757173604.

The spelling of 1369760128 in words is "one billion, three hundred sixty-nine million, seven hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1628 2368 3256 4736 6512 13024 26048 26293 52096 52586 105172 210344 289223 420688 578446 841376 972841 1156892 1682752 1945682 2313784 3365504 3891364 4627568 7782728 9255136 10701251 15565456 18510272 21402502 31130912 37020544 42805004 62261824 85610008 124523648 171220016 342440032 684880064 1369760128