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1361712288 = 253671271667
BaseRepresentation
bin101000100101010…
…0001010010100000
310111220022011002110
41101022201102200
510242044243123
6343042115320
745513235446
oct12112412240
93456264073
101361712288
11639718662
1232004bb40
13189164421
14ccbc6b96
157e830493
hex512a14a0

1361712288 has 96 divisors (see below), whose sum is σ = 3658604544. Its totient is φ = 443342592.

The previous prime is 1361712283. The next prime is 1361712301. The reversal of 1361712288 is 8822171631.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1361712283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816031 + ... + 817697.

It is an arithmetic number, because the mean of its divisors is an integer number (38110464).

Almost surely, 21361712288 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 1361712288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829302272).

1361712288 is an abundant number, since it is smaller than the sum of its proper divisors (2296892256).

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

1361712288 is a wasteful number, since it uses less digits than its factorization.

1361712288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1866 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 1361712288 is about 36901.3859902308. The cubic root of 1361712288 is about 1108.3964313648.

The spelling of 1361712288 in words is "one billion, three hundred sixty-one million, seven hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 127 134 201 254 268 381 402 508 536 762 804 1016 1072 1524 1608 1667 2032 2144 3048 3216 3334 4064 5001 6096 6432 6668 8509 10002 12192 13336 17018 20004 25527 26672 34036 40008 51054 53344 68072 80016 102108 111689 136144 160032 204216 211709 223378 272288 335067 408432 423418 446756 635127 670134 816864 846836 893512 1270254 1340268 1693672 1787024 2540508 2680536 3387344 3574048 5081016 5361072 6774688 10162032 10722144 14184503 20324064 28369006 42553509 56738012 85107018 113476024 170214036 226952048 340428072 453904096 680856144 1361712288