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104263920 = 24325179809
BaseRepresentation
bin1100011011011…
…11000011110000
321021012011012200
412031233003300
5203142421140
614202423200
72404141305
oct615570360
9237164180
10104263920
1153944032
122ab01b00
13187a7537
14dbc10ac
159248030
hex636f0f0

104263920 has 120 divisors (see below), whose sum is σ = 352544400. Its totient is φ = 27614208.

The previous prime is 104263889. The next prime is 104263927. The reversal of 104263920 is 29362401.

104263920 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 639 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104263927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128476 + ... + 129284.

It is an arithmetic number, because the mean of its divisors is an integer number (2937870).

Almost surely, 2104263920 is an apocalyptic number.

104263920 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 104263920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176272200).

104263920 is an abundant number, since it is smaller than the sum of its proper divisors (248280480).

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

104263920 is a wasteful number, since it uses less digits than its factorization.

104263920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 104263920 is about 10210.9705709105. The cubic root of 104263920 is about 470.6643991184.

The spelling of 104263920 in words is "one hundred four million, two hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 179 180 240 358 360 537 716 720 809 895 1074 1432 1611 1618 1790 2148 2427 2685 2864 3222 3236 3580 4045 4296 4854 5370 6444 6472 7160 7281 8055 8090 8592 9708 10740 12135 12888 12944 14320 14562 16110 16180 19416 21480 24270 25776 29124 32220 32360 36405 38832 42960 48540 58248 64440 64720 72810 97080 116496 128880 144811 145620 194160 289622 291240 434433 579244 582480 724055 868866 1158488 1303299 1448110 1737732 2172165 2316976 2606598 2896220 3475464 4344330 5213196 5792440 6516495 6950928 8688660 10426392 11584880 13032990 17377320 20852784 26065980 34754640 52131960 104263920