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9993690 = 2325729547
BaseRepresentation
bin100110000111…
…110111011010
3200210201202200
4212013313122
510024244230
6554111030
7150642060
oct46076732
920721680
109993690
115706453
12341b476
1320bba35
141482030
15d26160
hex987dda

9993690 has 96 divisors (see below), whose sum is σ = 30775680. Its totient is φ = 2201472.

The previous prime is 9993679. The next prime is 9993701. The reversal of 9993690 is 963999.

9993690 = 1132 + 1142 + ... + 3152.

It is an interprime number because it is at equal distance from previous prime (9993679) and next prime (9993701).

It is a super-2 number, since 2×99936902 = 199747679632200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17997 + ... + 18543.

It is an arithmetic number, because the mean of its divisors is an integer number (320580).

Almost surely, 29993690 is an apocalyptic number.

9993690 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 9993690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15387840).

9993690 is an abundant number, since it is smaller than the sum of its proper divisors (20781990).

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

9993690 is a wasteful number, since it uses less digits than its factorization.

9993690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The square root of 9993690 is about 3161.2798041300. The cubic root of 9993690 is about 215.3981445256.

The spelling of 9993690 in words is "nine million, nine hundred ninety-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 547 609 630 870 1015 1094 1218 1305 1641 1827 2030 2610 2735 3045 3282 3654 3829 4923 5470 6090 7658 8205 9135 9846 11487 15863 16410 18270 19145 22974 24615 31726 34461 38290 47589 49230 57435 68922 79315 95178 111041 114870 142767 158630 172305 222082 237945 285534 333123 344610 475890 555205 666246 713835 999369 1110410 1427670 1665615 1998738 3331230 4996845 9993690