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104260146000 = 2435356930539
BaseRepresentation
bin110000100011001100…
…0111001001101010000
3100222010001212011220220
41201012120321031100
53202011044133000
6115521344433040
710350443422143
oct1410630711520
9328101764826
10104260146000
114024215291a
1218258618780
139aa72b69aa
145090b7205a
152aa324a1a0
hex1846639350

104260146000 has 160 divisors (see below), whose sum is σ = 336736483200. Its totient is φ = 27752934400.

The previous prime is 104260145999. The next prime is 104260146059. The reversal of 104260146000 is 641062401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3398731 + ... + 3429269.

It is an arithmetic number, because the mean of its divisors is an integer number (2104603020).

Almost surely, 2104260146000 is an apocalyptic number.

104260146000 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 104260146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168368241600).

104260146000 is an abundant number, since it is smaller than the sum of its proper divisors (232476337200).

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

104260146000 is a wasteful number, since it uses less digits than its factorization.

104260146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31134 (or 31118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 104260146000 in words is "one hundred four billion, two hundred sixty million, one hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 569 600 750 1000 1138 1200 1500 1707 2000 2276 2845 3000 3414 4552 5690 6000 6828 8535 9104 11380 13656 14225 17070 22760 27312 28450 30539 34140 42675 45520 56900 61078 68280 71125 85350 91617 113800 122156 136560 142250 152695 170700 183234 213375 227600 244312 284500 305390 341400 366468 426750 458085 488624 569000 610780 682800 732936 763475 853500 916170 1138000 1221560 1465872 1526950 1707000 1832340 2290425 2443120 3053900 3414000 3664680 3817375 4580850 6107800 7329360 7634750 9161700 11452125 12215600 15269500 17376691 18323400 22904250 30539000 34753382 36646800 45808500 52130073 61078000 69506764 86883455 91617000 104260146 139013528 173766910 183234000 208520292 260650365 278027056 347533820 417040584 434417275 521300730 695067640 834081168 868834550 1042601460 1303251825 1390135280 1737669100 2085202920 2172086375 2606503650 3475338200 4170405840 4344172750 5213007300 6516259125 6950676400 8688345500 10426014600 13032518250 17376691000 20852029200 26065036500 34753382000 52130073000 104260146000