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1049215104 = 27327235657
BaseRepresentation
bin111110100010011…
…100000010000000
32201010021122112200
4332202130002000
54122044340404
6252040153200
735000116110
oct7642340200
92633248480
101049215104
11499288923
12253468800
131394ac252
149d4bd040
15621a3839
hex3e89c080

1049215104 has 192 divisors, whose sum is σ = 3601203840. Its totient is φ = 286691328.

The previous prime is 1049215087. The next prime is 1049215117. The reversal of 1049215104 is 4015129401.

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

It is a super-2 number, since 2×10492151042 = 2201704668923461632, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 182644 + ... + 188300.

It is an arithmetic number, because the mean of its divisors is an integer number (18756270).

Almost surely, 21049215104 is an apocalyptic number.

1049215104 is a gapful number since it is divisible by the number (14) 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 1049215104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800601920).

1049215104 is an abundant number, since it is smaller than the sum of its proper divisors (2551988736).

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

1049215104 is a wasteful number, since it uses less digits than its factorization.

1049215104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1049215104 is about 32391.5900196332. The cubic root of 1049215104 is about 1016.1430348151.

It can be divided in two parts, 1049 and 215104, that added together give a triangular number (216153 = T657).

The spelling of 1049215104 in words is "one billion, forty-nine million, two hundred fifteen thousand, one hundred four".