Search a number
-
+
120185868 = 2231119173277
BaseRepresentation
bin1110010100111…
…10010000001100
322101011002000110
413022132100030
5221231421433
615532000020
72656364055
oct712362014
9271132013
10120185868
1161929470
1234300010
131bb906ca
1411d6772c
15a840963
hex729e40c

120185868 has 96 divisors (see below), whose sum is σ = 325059840. Its totient is φ = 34179840.

The previous prime is 120185861. The next prime is 120185881. The reversal of 120185868 is 868581021.

It is not an unprimeable number, because it can be changed into a prime (120185861) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433746 + ... + 434022.

It is an arithmetic number, because the mean of its divisors is an integer number (3386040).

Almost surely, 2120185868 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 120185868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162529920).

120185868 is an abundant number, since it is smaller than the sum of its proper divisors (204873972).

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

120185868 is a wasteful number, since it uses less digits than its factorization.

120185868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 120185868 is about 10962.9315422473. The cubic root of 120185868 is about 493.4969445564.

The spelling of 120185868 in words is "one hundred twenty million, one hundred eighty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 173 209 228 277 346 418 519 554 627 692 831 836 1038 1108 1254 1662 1903 2076 2508 3047 3287 3324 3806 5263 5709 6094 6574 7612 9141 9861 10526 11418 12188 13148 15789 18282 19722 21052 22836 31578 36157 36564 39444 47921 57893 63156 72314 95842 108471 115786 143763 144628 173679 191684 216942 231572 287526 347358 433884 527131 575052 694716 910499 1054262 1581393 1820998 2108524 2731497 3162786 3641996 5462994 6325572 10015489 10925988 20030978 30046467 40061956 60092934 120185868