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1290367104 = 27313258487
BaseRepresentation
bin100110011101001…
…0111000010000000
310022221001102220020
41030322113002000
510120313221404
6332013013440
743655640135
oct11472270200
93287042806
101290367104
116024189a4
12300184280
13177444540
14c353458c
157843aed9
hex4ce97080

1290367104 has 64 divisors (see below), whose sum is σ = 3691208640. Its totient is φ = 397034496.

The previous prime is 1290367081. The next prime is 1290367147. The reversal of 1290367104 is 4017630921.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124252 + ... + 134235.

It is an arithmetic number, because the mean of its divisors is an integer number (57675135).

Almost surely, 21290367104 is an apocalyptic number.

It is an amenable number.

1290367104 is an abundant number, since it is smaller than the sum of its proper divisors (2400841536).

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

1290367104 is a wasteful number, since it uses less digits than its factorization.

1290367104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258517 (or 258505 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1290367104 is about 35921.6801388799. The cubic root of 1290367104 is about 1088.6904858627.

The spelling of 1290367104 in words is "one billion, two hundred ninety million, three hundred sixty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 258487 516974 775461 1033948 1550922 2067896 3101844 3360331 4135792 6203688 6720662 8271584 10080993 12407376 13441324 16543168 20161986 24814752 26882648 33086336 40323972 49629504 53765296 80647944 99259008 107530592 161295888 215061184 322591776 430122368 645183552 1290367104