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120109488 = 243171961127
BaseRepresentation
bin1110010100010…
…11100110110000
322101000012020120
413022023212300
5221222000423
615530210240
72655625302
oct712134660
9271005216
10120109488
1161887044
1234283980
131bb64a05
1411d47972
15a827ee3
hex728b9b0

120109488 has 160 divisors (see below), whose sum is σ = 354263040. Its totient is φ = 34836480.

The previous prime is 120109453. The next prime is 120109489. The reversal of 120109488 is 884901021.

It is not an unprimeable number, because it can be changed into a prime (120109489) 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 31 ways as a sum of consecutive naturals, for example, 945681 + ... + 945807.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 2120109488 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 120109488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177131520).

120109488 is an abundant number, since it is smaller than the sum of its proper divisors (234153552).

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

120109488 is a wasteful number, since it uses less digits than its factorization.

120109488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 120109488 is about 10959.4474313261. The cubic root of 120109488 is about 493.3923807255.

The spelling of 120109488 in words is "one hundred twenty million, one hundred nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 61 68 76 102 114 122 127 136 152 183 204 228 244 254 272 304 323 366 381 408 456 488 508 646 732 762 816 912 969 976 1016 1037 1159 1292 1464 1524 1938 2032 2074 2159 2318 2413 2584 2928 3048 3111 3477 3876 4148 4318 4636 4826 5168 6096 6222 6477 6954 7239 7747 7752 8296 8636 9272 9652 12444 12954 13908 14478 15494 15504 16592 17272 18544 19304 19703 23241 24888 25908 27816 28956 30988 34544 38608 39406 41021 46482 49776 51816 55632 57912 59109 61976 78812 82042 92964 103632 115824 118218 123063 123952 131699 147193 157624 164084 185928 236436 246126 263398 294386 315248 328168 371856 395097 441579 472872 492252 526796 588772 656336 790194 883158 945744 984504 1053592 1177544 1580388 1766316 1969008 2107184 2355088 2502281 3160776 3532632 5004562 6321552 7065264 7506843 10009124 15013686 20018248 30027372 40036496 60054744 120109488