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9631116 = 223311367
BaseRepresentation
bin100100101111…
…010110001100
3200010022102000
4210233112030
54431143431
6542232300
7144602025
oct44572614
920108360
109631116
115489000
123285690
131cc29b1
1413c9c4c
15ca39e6
hex92f58c

9631116 has 96 divisors (see below), whose sum is σ = 27874560. Its totient is φ = 2874960.

The previous prime is 9631091. The next prime is 9631117. The reversal of 9631116 is 6111369.

9631116 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9631116.

It is not an unprimeable number, because it can be changed into a prime (9631117) 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, 143715 + ... + 143781.

It is an arithmetic number, because the mean of its divisors is an integer number (290360).

Almost surely, 29631116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9631116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937280).

9631116 is an abundant number, since it is smaller than the sum of its proper divisors (18243444).

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

9631116 is a wasteful number, since it uses less digits than its factorization.

9631116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 9631116 is about 3103.4039376143. The cubic root of 9631116 is about 212.7610889998.

The spelling of 9631116 in words is "nine million, six hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 67 99 108 121 132 134 198 201 242 268 297 363 396 402 484 594 603 726 737 804 1089 1188 1206 1331 1452 1474 1809 2178 2211 2412 2662 2948 3267 3618 3993 4356 4422 5324 6534 6633 7236 7986 8107 8844 11979 13068 13266 15972 16214 19899 23958 24321 26532 32428 35937 39798 47916 48642 71874 72963 79596 89177 97284 143748 145926 178354 218889 267531 291852 356708 437778 535062 802593 875556 1070124 1605186 2407779 3210372 4815558 9631116