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120181068 = 223274773139
BaseRepresentation
bin1110010100111…
…01000101001100
322101010211102200
413022131011030
5221231243233
615531521500
72656344060
oct712350514
9271124380
10120181068
11619258a7
12342b9290
131bb8b477
1411d65aa0
15a83e313
hex729d14c

120181068 has 144 divisors (see below), whose sum is σ = 362019840. Its totient is φ = 32908032.

The previous prime is 120181067. The next prime is 120181081. The reversal of 120181068 is 860181021.

It is not an unprimeable number, because it can be changed into a prime (120181063) 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 47 ways as a sum of consecutive naturals, for example, 864543 + ... + 864681.

Almost surely, 2120181068 is an apocalyptic number.

120181068 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 120181068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181009920).

120181068 is an abundant number, since it is smaller than the sum of its proper divisors (241838772).

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

120181068 is a wasteful number, since it uses less digits than its factorization.

120181068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 120181068 is about 10962.7126205151. The cubic root of 120181068 is about 493.4903746856.

The spelling of 120181068 in words is "one hundred twenty million, one hundred eighty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 73 84 94 126 139 141 146 188 219 252 278 282 292 329 417 423 438 511 556 564 657 658 834 846 876 973 987 1022 1251 1314 1316 1533 1668 1692 1946 1974 2044 2502 2628 2919 2961 3066 3431 3892 3948 4599 5004 5838 5922 6132 6533 6862 8757 9198 10147 10293 11676 11844 13066 13724 17514 18396 19599 20294 20586 24017 26132 30441 30879 35028 39198 40588 41172 45731 48034 58797 60882 61758 71029 72051 78396 91323 91462 96068 117594 121764 123516 137193 142058 144102 182646 182924 213087 216153 235188 274386 284116 288204 365292 411579 426174 432306 476909 548772 639261 823158 852348 864612 953818 1278522 1430727 1646316 1907636 2557044 2861454 3338363 4292181 5722908 6676726 8584362 10015089 13353452 17168724 20030178 30045267 40060356 60090534 120181068