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104361000 = 2335343809
BaseRepresentation
bin1100011100001…
…10110000101000
321021101002101020
412032012300220
5203204023000
614204452440
72405024322
oct616066050
9237332336
10104361000
11539aaa67
122ab4a120
131880c793
14dc08612
159266ba0
hex6386c28

104361000 has 128 divisors (see below), whose sum is σ = 333590400. Its totient is φ = 27148800.

The previous prime is 104360999. The next prime is 104361001. The reversal of 104361000 is 163401.

It is an interprime number because it is at equal distance from previous prime (104360999) and next prime (104361001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (104361001) 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 31 ways as a sum of consecutive naturals, for example, 128596 + ... + 129404.

It is an arithmetic number, because the mean of its divisors is an integer number (2606175).

Almost surely, 2104361000 is an apocalyptic number.

104361000 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 104361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166795200).

104361000 is an abundant number, since it is smaller than the sum of its proper divisors (229229400).

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

104361000 is a wasteful number, since it uses less digits than its factorization.

104361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 104361000 is about 10215.7231755760. The cubic root of 104361000 is about 470.8104321403.

The spelling of 104361000 in words is "one hundred four million, three hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 809 860 1000 1032 1075 1290 1500 1618 1720 2150 2427 2580 3000 3225 3236 4045 4300 4854 5160 5375 6450 6472 8090 8600 9708 10750 12135 12900 16125 16180 19416 20225 21500 24270 25800 32250 32360 34787 40450 43000 48540 60675 64500 69574 80900 97080 101125 104361 121350 129000 139148 161800 173935 202250 208722 242700 278296 303375 347870 404500 417444 485400 521805 606750 695740 809000 834888 869675 1043610 1213500 1391480 1739350 2087220 2427000 2609025 3478700 4174440 4348375 5218050 6957400 8696750 10436100 13045125 17393500 20872200 26090250 34787000 52180500 104361000