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108473040 = 24335133863
BaseRepresentation
bin1100111011100…
…10101011010000
321120010000001000
412131302223100
5210232114130
614432542000
72455001634
oct635625320
9246100030
10108473040
1156259445
12303b1900
131961c340
1410598dc4
1597ca260
hex6772ad0

108473040 has 160 divisors (see below), whose sum is σ = 402474240. Its totient is φ = 26694144.

The previous prime is 108473023. The next prime is 108473041. The reversal of 108473040 is 40374801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 108472995 and 108473013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108473041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26149 + ... + 30011.

It is an arithmetic number, because the mean of its divisors is an integer number (2515464).

Almost surely, 2108473040 is an apocalyptic number.

108473040 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 108473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201237120).

108473040 is an abundant number, since it is smaller than the sum of its proper divisors (294001200).

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

108473040 is a wasteful number, since it uses less digits than its factorization.

108473040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 108473040 is about 10415.0391261867. The cubic root of 108473040 is about 476.9145846029.

The spelling of 108473040 in words is "one hundred eight million, four hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 3863 4680 5616 7020 7726 9360 11589 14040 15452 19315 23178 28080 30904 34767 38630 46356 50219 57945 61808 69534 77260 92712 100438 104301 115890 139068 150657 154520 173835 185424 200876 208602 231780 251095 278136 301314 309040 347670 401752 417204 451971 463560 502190 521505 556272 602628 695340 753285 803504 834408 903942 927120 1004380 1043010 1205256 1355913 1390680 1506570 1668816 1807884 2008760 2086020 2259855 2410512 2711826 2781360 3013140 3615768 4017520 4172040 4519710 5423652 6026280 6779565 7231536 8344080 9039420 10847304 12052560 13559130 18078840 21694608 27118260 36157680 54236520 108473040