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8816940 = 22325116173
BaseRepresentation
bin100001101000…
…100100101100
3121120221120100
4201220210230
54224120230
6512551100
7134641236
oct41504454
917527510
108816940
114a82330
122b52490
131a99232
141257256
15b92660
hex86892c

8816940 has 144 divisors (see below), whose sum is σ = 30060576. Its totient is φ = 2073600.

The previous prime is 8816939. The next prime is 8816959. The reversal of 8816940 is 496188.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8816895 and 8816904.

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, 120744 + ... + 120816.

It is an arithmetic number, because the mean of its divisors is an integer number (208754).

Almost surely, 28816940 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 8816940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030288).

8816940 is an abundant number, since it is smaller than the sum of its proper divisors (21243636).

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

8816940 is a wasteful number, since it uses less digits than its factorization.

8816940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8816940 is about 2969.3332584942. Note that the first 3 decimals coincide. The cubic root of 8816940 is about 206.5884141248.

It can be divided in two parts, 88169 and 40, that added together give a square (88209 = 2972).

The spelling of 8816940 in words is "eight million, eight hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 73 90 99 110 122 132 146 165 180 183 198 219 220 244 292 305 330 365 366 396 438 495 549 610 657 660 671 730 732 803 876 915 990 1095 1098 1220 1314 1342 1460 1606 1830 1980 2013 2190 2196 2409 2628 2684 2745 3212 3285 3355 3660 4015 4026 4380 4453 4818 5490 6039 6570 6710 7227 8030 8052 8906 9636 10065 10980 12045 12078 13140 13359 13420 14454 16060 17812 20130 22265 24090 24156 26718 28908 30195 36135 40077 40260 44530 48180 48983 53436 60390 66795 72270 80154 89060 97966 120780 133590 144540 146949 160308 195932 200385 244915 267180 293898 400770 440847 489830 587796 734745 801540 881694 979660 1469490 1763388 2204235 2938980 4408470 8816940