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104866440 = 23357127983
BaseRepresentation
bin1100100000000…
…10001010001000
321022022202201020
412100002022020
5203321211230
614223352440
72412231030
oct620021210
9238282636
10104866440
1154215788
122b152720
1318958863
14dcda8c0
159316810
hex6402288

104866440 has 128 divisors (see below), whose sum is σ = 362741760. Its totient is φ = 23756544.

The previous prime is 104866439. The next prime is 104866441. The reversal of 104866440 is 44668401.

It is an interprime number because it is at equal distance from previous prime (104866439) and next prime (104866441).

It is not an unprimeable number, because it can be changed into a prime (104866441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106189 + ... + 107171.

It is an arithmetic number, because the mean of its divisors is an integer number (2833920).

Almost surely, 2104866440 is an apocalyptic number.

104866440 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 104866440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181370880).

104866440 is an abundant number, since it is smaller than the sum of its proper divisors (257875320).

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

104866440 is a wasteful number, since it uses less digits than its factorization.

104866440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 104866440 is about 10240.4316315280. The cubic root of 104866440 is about 471.5692829341.

The spelling of 104866440 in words is "one hundred four million, eight hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 127 140 168 210 254 280 381 420 508 635 762 840 889 983 1016 1270 1524 1778 1905 1966 2540 2667 2949 3048 3556 3810 3932 4445 4915 5080 5334 5898 6881 7112 7620 7864 8890 9830 10668 11796 13335 13762 14745 15240 17780 19660 20643 21336 23592 26670 27524 29490 34405 35560 39320 41286 53340 55048 58980 68810 82572 103215 106680 117960 124841 137620 165144 206430 249682 275240 374523 412860 499364 624205 749046 825720 873887 998728 1248410 1498092 1747774 1872615 2496820 2621661 2996184 3495548 3745230 4369435 4993640 5243322 6991096 7490460 8738870 10486644 13108305 14980920 17477740 20973288 26216610 34955480 52433220 104866440