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9868950 = 23252713241
BaseRepresentation
bin100101101001…
…011010010110
3200120101122200
4211221122112
510011301300
6551305330
7146612310
oct45513226
920511580
109868950
115630763
12337b246
132077020
14144c7b0
15cee200
hex969696

9868950 has 144 divisors (see below), whose sum is σ = 32768736. Its totient is φ = 2073600.

The previous prime is 9868933. The next prime is 9868951. The reversal of 9868950 is 598689.

9868950 is nontrivially palindromic in base 4.

9868950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an Ulam number.

9868950 is an undulating number in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 9868896 and 9868905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9868951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40830 + ... + 41070.

Almost surely, 29868950 is an apocalyptic number.

9868950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9868950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384368).

9868950 is an abundant number, since it is smaller than the sum of its proper divisors (22899786).

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

9868950 is a wasteful number, since it uses less digits than its factorization.

9868950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9868950 is about 3141.4885006952. The cubic root of 9868950 is about 214.4981987558.

The spelling of 9868950 in words is "nine million, eight hundred sixty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 25 26 30 35 39 42 45 50 63 65 70 75 78 90 91 105 117 126 130 150 175 182 195 210 225 234 241 273 315 325 350 390 450 455 482 525 546 585 630 650 723 819 910 975 1050 1170 1205 1365 1446 1575 1638 1687 1950 2169 2275 2410 2730 2925 3133 3150 3374 3615 4095 4338 4550 5061 5850 6025 6266 6825 7230 8190 8435 9399 10122 10845 12050 13650 15183 15665 16870 18075 18798 20475 21690 21931 25305 28197 30366 31330 36150 40950 42175 43862 46995 50610 54225 56394 65793 75915 78325 84350 93990 108450 109655 126525 131586 140985 151830 156650 197379 219310 234975 253050 281970 328965 379575 394758 469950 548275 657930 704925 759150 986895 1096550 1409850 1644825 1973790 3289650 4934475 9868950