Search a number
-
+
103958120 = 23571919541
BaseRepresentation
bin1100011001001…
…00011001101000
321020121121201202
412030210121220
5203103124440
614152103332
72401425620
oct614443150
9236547652
10103958120
1153755302
122a994b48
13186cb2a6
14db41880
1591d7615
hex6324668

103958120 has 64 divisors (see below), whose sum is σ = 281404800. Its totient is φ = 33765120.

The previous prime is 103958119. The next prime is 103958131. The reversal of 103958120 is 21859301.

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 15 ways as a sum of consecutive naturals, for example, 4451 + ... + 15090.

It is an arithmetic number, because the mean of its divisors is an integer number (4396950).

Almost surely, 2103958120 is an apocalyptic number.

103958120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103958120 is an abundant number, since it is smaller than the sum of its proper divisors (177446680).

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

103958120 is a wasteful number, since it uses less digits than its factorization.

103958120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19578 (or 19574 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 103958120 is about 10195.9854844934. The cubic root of 103958120 is about 470.2038047763.

The spelling of 103958120 in words is "one hundred three million, nine hundred fifty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 19541 39082 78164 97705 136787 156328 195410 273574 371279 390820 547148 683935 742558 781640 1094296 1367870 1485116 1856395 2598953 2735740 2970232 3712790 5197906 5471480 7425580 10395812 12994765 14851160 20791624 25989530 51979060 103958120