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103986400 = 2552731599
BaseRepresentation
bin1100011001010…
…11010011100000
321020200001112011
412030223103200
5203110031100
614152442304
72401604230
oct614532340
9236601464
10103986400
1153774581
122a9a9394
131870b11b
14db4bcc0
1591e0bba
hex632b4e0

103986400 has 144 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 34444800.

The previous prime is 103986397. The next prime is 103986401. The reversal of 103986400 is 4689301.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103986401) 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, 173301 + ... + 173899.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 2103986400 is an apocalyptic number.

103986400 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 103986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

103986400 is an abundant number, since it is smaller than the sum of its proper divisors (195994400).

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

103986400 is a wasteful number, since it uses less digits than its factorization.

103986400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 103986400 is about 10197.3722105256. The cubic root of 103986400 is about 470.2464378353.

The spelling of 103986400 in words is "one hundred three million, nine hundred eighty-six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 70 80 100 112 124 140 155 160 175 200 217 224 248 280 310 350 400 434 496 560 599 620 700 775 800 868 992 1085 1120 1198 1240 1400 1550 1736 2170 2396 2480 2800 2995 3100 3472 4193 4340 4792 4960 5425 5600 5990 6200 6944 8386 8680 9584 10850 11980 12400 14975 16772 17360 18569 19168 20965 21700 23960 24800 29950 33544 34720 37138 41930 43400 47920 59900 67088 74276 83860 86800 92845 95840 104825 119800 129983 134176 148552 167720 173600 185690 209650 239600 259966 297104 335440 371380 419300 464225 479200 519932 594208 649915 670880 742760 838600 928450 1039864 1299830 1485520 1677200 1856900 2079728 2599660 2971040 3249575 3354400 3713800 4159456 5199320 6499150 7427600 10398640 12998300 14855200 20797280 25996600 51993200 103986400