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121438016 = 267271067
BaseRepresentation
bin1110011110011…
…11111101000000
322110111200122022
413033033331000
5222042004031
620014501012
73003130460
oct717177500
9273450568
10121438016
11626041a7
1234804768
131c20b61b
14121b1ba0
15a9db97b
hex73cff40

121438016 has 28 divisors (see below), whose sum is σ = 275405088. Its totient is φ = 52044672.

The previous prime is 121437997. The next prime is 121438039. The reversal of 121438016 is 610834121.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

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, 135086 + ... + 135981.

It is an arithmetic number, because the mean of its divisors is an integer number (9835896).

Almost surely, 2121438016 is an apocalyptic number.

121438016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121438016 is an abundant number, since it is smaller than the sum of its proper divisors (153967072).

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

121438016 is an equidigital number, since it uses as much as digits as its factorization.

121438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271086 (or 271076 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 121438016 is about 11019.8918325000. The cubic root of 121438016 is about 495.2048480451.

The spelling of 121438016 in words is "one hundred twenty-one million, four hundred thirty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 271067 542134 1084268 1897469 2168536 3794938 4337072 7589876 8674144 15179752 17348288 30359504 60719008 121438016