Search a number
-
+
121263264 = 2533140351
BaseRepresentation
bin1110011101001…
…01010010100000
322110011210221000
413032211102200
5222020411024
620011032000
73001502133
oct716452240
9273153830
10121263264
11624a4981
123473b600
131c179c15
141216821a
15a9a4cc9
hex73a54a0

121263264 has 48 divisors (see below), whose sum is σ = 353687040. Its totient is φ = 40420800.

The previous prime is 121263257. The next prime is 121263277. The reversal of 121263264 is 462362121.

121263264 is a `hidden beast` number, since 1 + 21 + 2 + 632 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 69312 + ... + 71039.

It is an arithmetic number, because the mean of its divisors is an integer number (7368480).

Almost surely, 2121263264 is an apocalyptic number.

It is an amenable number.

121263264 is an abundant number, since it is smaller than the sum of its proper divisors (232423776).

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

121263264 is a wasteful number, since it uses less digits than its factorization.

121263264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140370 (or 140356 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 121263264 is about 11011.9600435163. The cubic root of 121263264 is about 494.9671970916.

The spelling of 121263264 in words is "one hundred twenty-one million, two hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 140351 280702 421053 561404 842106 1122808 1263159 1684212 2245616 2526318 3368424 3789477 4491232 5052636 6736848 7578954 10105272 13473696 15157908 20210544 30315816 40421088 60631632 121263264