Search a number
-
+
120241188 = 223231163661
BaseRepresentation
bin1110010101010…
…11110000100100
322101020212220100
413022223300210
5221240204223
615533104100
72660014254
oct712536044
9271225810
10120241188
1161966a91
1234328030
131bbac942
1411d7d964
15a852043
hex72abc24

120241188 has 72 divisors (see below), whose sum is σ = 316150016. Its totient is φ = 38491200.

The previous prime is 120241183. The next prime is 120241189. The reversal of 120241188 is 881142021.

It is not an unprimeable number, because it can be changed into a prime (120241183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181578 + ... + 182238.

Almost surely, 2120241188 is an apocalyptic number.

120241188 is a gapful number since it is divisible by the number (18) 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 120241188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158075008).

120241188 is an abundant number, since it is smaller than the sum of its proper divisors (195908828).

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

120241188 is a wasteful number, since it uses less digits than its factorization.

120241188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 120241188 is about 10965.4542997543. The cubic root of 120241188 is about 493.5726496950.

The spelling of 120241188 in words is "one hundred twenty million, two hundred forty-one thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 163 186 279 326 372 489 558 652 661 978 1116 1322 1467 1956 1983 2644 2934 3966 5053 5868 5949 7932 10106 11898 15159 20212 20491 23796 30318 40982 45477 60636 61473 81964 90954 107743 122946 181908 184419 215486 245892 323229 368838 430972 646458 737676 969687 1292916 1939374 3340033 3878748 6680066 10020099 13360132 20040198 30060297 40080396 60120594 120241188