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1166468096 = 2105321493
BaseRepresentation
bin100010110000110…
…1110010000000000
310000021220201102002
41011201232100000
54342103434341
6311425243132
740622546423
oct10541562000
93007821362
101166468096
11549493822
122867934a8
13157883a11
14b0cc19ba
156c61529b
hex4586e400

1166468096 has 44 divisors (see below), whose sum is σ = 2375903772. Its totient is φ = 572203008.

The previous prime is 1166468077. The next prime is 1166468119. The reversal of 1166468096 is 6908646611.

It can be written as a sum of positive squares in 2 ways, for example, as 435306496 + 731161600 = 20864^2 + 27040^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1166468096.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43526 + ... + 65018.

It is an arithmetic number, because the mean of its divisors is an integer number (53997813).

Almost surely, 21166468096 is an apocalyptic number.

1166468096 is a gapful number since it is divisible by the number (16) 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 1166468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187951886).

1166468096 is an abundant number, since it is smaller than the sum of its proper divisors (1209435676).

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

1166468096 is an equidigital number, since it uses as much as digits as its factorization.

1166468096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21566 (or 21548 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 1166468096 is about 34153.5956525810. The cubic root of 1166468096 is about 1052.6668703284. Note that the first 3 decimals are identical.

The spelling of 1166468096 in words is "one billion, one hundred sixty-six million, four hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 3392 6784 13568 21493 27136 42986 54272 85972 171944 343888 687776 1139129 1375552 2278258 2751104 4556516 5502208 9113032 11004416 18226064 22008832 36452128 72904256 145808512 291617024 583234048 1166468096