Search a number
-
+
988680 = 2335711107
BaseRepresentation
bin11110001011000001000
31212020012210
43301120020
5223114210
633105120
711255310
oct3613010
91766183
10988680
116158a0
123b81a0
13288024
141ba440
15147e20
hexf1608

988680 has 128 divisors (see below), whose sum is σ = 3732480. Its totient is φ = 203520.

The previous prime is 988661. The next prime is 988681. The reversal of 988680 is 86889.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988681) by changing a digit.

988680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9187 + ... + 9293.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2988680 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 988680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866240).

988680 is an abundant number, since it is smaller than the sum of its proper divisors (2743800).

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

988680 is a wasteful number, since it uses less digits than its factorization.

988680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 988680 is about 994.3238908927. The cubic root of 988680 is about 99.6212338399.

It can be divided in two parts, 98 and 8680, that added together give a palindrome (8778).

The spelling of 988680 in words is "nine hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 107 110 120 132 140 154 165 168 210 214 220 231 264 280 308 321 330 385 420 428 440 462 535 616 642 660 749 770 840 856 924 1070 1155 1177 1284 1320 1498 1540 1605 1848 2140 2247 2310 2354 2568 2996 3080 3210 3531 3745 4280 4494 4620 4708 5885 5992 6420 7062 7490 8239 8988 9240 9416 11235 11770 12840 14124 14980 16478 17655 17976 22470 23540 24717 28248 29960 32956 35310 41195 44940 47080 49434 65912 70620 82390 89880 98868 123585 141240 164780 197736 247170 329560 494340 988680