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9788940 = 22325717457
BaseRepresentation
bin100101010101…
…111000001100
3200102022220100
4211111320030
510001221230
6545451100
7146130120
oct45257014
920368810
109788940
115586637
123340a90
132049795
14142b580
15cd5660
hex955e0c

9788940 has 144 divisors (see below), whose sum is σ = 36009792. Its totient is φ = 2101248.

The previous prime is 9788939. The next prime is 9788951. The reversal of 9788940 is 498879.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21192 + ... + 21648.

It is an arithmetic number, because the mean of its divisors is an integer number (250068).

Almost surely, 29788940 is an apocalyptic number.

9788940 is a gapful number since it is divisible by the number (90) 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 9788940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004896).

9788940 is an abundant number, since it is smaller than the sum of its proper divisors (26220852).

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

9788940 is a wasteful number, since it uses less digits than its factorization.

9788940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9788940 is about 3128.7281761125. The cubic root of 9788940 is about 213.9169619893.

The spelling of 9788940 in words is "nine million, seven hundred eighty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 457 476 510 595 612 630 714 765 914 1020 1071 1190 1260 1371 1428 1530 1785 1828 2142 2285 2380 2742 3060 3199 3570 4113 4284 4570 5355 5484 6398 6855 7140 7769 8226 9140 9597 10710 12796 13710 15538 15995 16452 19194 20565 21420 23307 27420 28791 31076 31990 38388 38845 41130 46614 47985 54383 57582 63980 69921 77690 82260 93228 95970 108766 115164 116535 139842 143955 155380 163149 191940 217532 233070 271915 279684 287910 326298 349605 466140 489447 543830 575820 652596 699210 815745 978894 1087660 1398420 1631490 1957788 2447235 3262980 4894470 9788940