Search a number
-
+
104439960 = 233251915269
BaseRepresentation
bin1100011100110…
…10000010011000
321021112002200200
412032122002120
5203214034320
614210302200
72405503452
oct616320230
9237462620
10104439960
1153a54319
122ab87960
13188396c1
14dc292d2
159280290
hex639a098

104439960 has 96 divisors (see below), whose sum is σ = 357318000. Its totient is φ = 26383104.

The previous prime is 104439953. The next prime is 104439967. The reversal of 104439960 is 69934401.

It is an interprime number because it is at equal distance from previous prime (104439953) and next prime (104439967).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104439967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 795 + ... + 14474.

Almost surely, 2104439960 is an apocalyptic number.

104439960 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 104439960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178659000).

104439960 is an abundant number, since it is smaller than the sum of its proper divisors (252878040).

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

104439960 is a wasteful number, since it uses less digits than its factorization.

104439960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15305 (or 15298 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 104439960 is about 10219.5870758069. The cubic root of 104439960 is about 470.9291413005.

The spelling of 104439960 in words is "one hundred four million, four hundred thirty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 15269 30538 45807 61076 76345 91614 122152 137421 152690 183228 229035 274842 290111 305380 366456 458070 549684 580222 610760 687105 870333 916140 1099368 1160444 1374210 1450555 1740666 1832280 2320888 2610999 2748420 2901110 3481332 4351665 5221998 5496840 5802220 6962664 8703330 10443996 11604440 13054995 17406660 20887992 26109990 34813320 52219980 104439960