Search a number
-
+
118363920 = 243519101257
BaseRepresentation
bin1110000111000…
…01011100010000
322020201111202220
413003201130100
5220300121140
615424541040
72635035213
oct703413420
9266644686
10118363920
11608a4624
1233781780
131b6a332c
1411a1177a
15a5d0bd0
hex70e1710

118363920 has 160 divisors (see below), whose sum is σ = 391582080. Its totient is φ = 29491200.

The previous prime is 118363913. The next prime is 118363933. The reversal of 118363920 is 29363811.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460432 + ... + 460688.

It is an arithmetic number, because the mean of its divisors is an integer number (2447388).

Almost surely, 2118363920 is an apocalyptic number.

118363920 is a gapful number since it is divisible by the number (10) 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 118363920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195791040).

118363920 is an abundant number, since it is smaller than the sum of its proper divisors (273218160).

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

118363920 is a wasteful number, since it uses less digits than its factorization.

118363920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 118363920 is about 10879.5183716927. The cubic root of 118363920 is about 490.9905272057.

The spelling of 118363920 in words is "one hundred eighteen million, three hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 101 114 120 152 190 202 228 240 257 285 303 304 380 404 456 505 514 570 606 760 771 808 912 1010 1028 1140 1212 1285 1515 1520 1542 1616 1919 2020 2056 2280 2424 2570 3030 3084 3838 3855 4040 4112 4560 4848 4883 5140 5757 6060 6168 7676 7710 8080 9595 9766 10280 11514 12120 12336 14649 15352 15420 19190 19532 20560 23028 24240 24415 25957 28785 29298 30704 30840 38380 39064 46056 48830 51914 57570 58596 61680 73245 76760 77871 78128 92112 97660 103828 115140 117192 129785 146490 153520 155742 195320 207656 230280 234384 259570 292980 311484 389355 390640 415312 460560 493183 519140 585960 622968 778710 986366 1038280 1171920 1245936 1479549 1557420 1972732 2076560 2465915 2959098 3114840 3945464 4931830 5918196 6229680 7397745 7890928 9863660 11836392 14795490 19727320 23672784 29590980 39454640 59181960 118363920