Search a number
-
+
121166056 = 23115383313
BaseRepresentation
bin1110011100011…
…01100011101000
322102222212120201
413032031203220
5222004303211
620005001544
73000615544
oct716154350
9272885521
10121166056
1162438940
12346b32b4
131c1448bb
1412140a24
15a9860c1
hex738d8e8

121166056 has 64 divisors (see below), whose sum is σ = 256374720. Its totient is φ = 53214720.

The previous prime is 121166053. The next prime is 121166081. The reversal of 121166056 is 650661121.

It is not an unprimeable number, because it can be changed into a prime (121166053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386956 + ... + 387268.

It is an arithmetic number, because the mean of its divisors is an integer number (4005855).

Almost surely, 2121166056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121166056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128187360).

121166056 is an abundant number, since it is smaller than the sum of its proper divisors (135208664).

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

121166056 is a wasteful number, since it uses less digits than its factorization.

121166056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 121166056 is about 11007.5454121253. The cubic root of 121166056 is about 494.8349019179.

The spelling of 121166056 in words is "one hundred twenty-one million, one hundred sixty-six thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 53 83 88 106 166 212 313 332 424 583 626 664 913 1166 1252 1826 2332 2504 3443 3652 4399 4664 6886 7304 8798 13772 16589 17596 25979 27544 33178 35192 48389 51958 66356 96778 103916 132712 182479 193556 207832 285769 364958 387112 571538 729916 1143076 1376887 1459832 2286152 2753774 5507548 11015096 15145757 30291514 60583028 121166056