Search a number
-
+
121577868 = 223310612
BaseRepresentation
bin1110011111100…
…10000110001100
322110202210111000
413033302012030
5222110442433
620021500300
73004252266
oct717620614
9273683430
10121577868
116269a285
1234871690
131c25a189
141220ab36
15aa18113
hex73f218c

121577868 has 36 divisors (see below), whose sum is σ = 315499240. Its totient is φ = 40487760.

The previous prime is 121577843. The next prime is 121577873. The reversal of 121577868 is 868775121.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

121577868 is a `hidden beast` number, since 12 + 1 + 577 + 8 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114058 + ... + 115118.

Almost surely, 2121577868 is an apocalyptic number.

121577868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121577868 is an abundant number, since it is smaller than the sum of its proper divisors (193921372).

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

121577868 is an equidigital number, since it uses as much as digits as its factorization.

121577868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 1066 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 121577868 is about 11026.2354409835. The cubic root of 121577868 is about 495.3948731627.

The spelling of 121577868 in words is "one hundred twenty-one million, five hundred seventy-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1061 2122 3183 4244 6366 9549 12732 19098 28647 38196 57294 114588 1125721 2251442 3377163 4502884 6754326 10131489 13508652 20262978 30394467 40525956 60788934 121577868