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988920 = 233254167
BaseRepresentation
bin11110001011011111000
31212020112200
43301123320
5223121140
633110200
711256102
oct3613370
91766480
10988920
11615a99
123b8360
1328817a
141ba572
15148030
hexf16f8

988920 has 96 divisors (see below), whose sum is σ = 3341520. Its totient is φ = 253440.

The previous prime is 988909. The next prime is 988937. The reversal of 988920 is 29889.

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

It is a congruent number.

It is an unprimeable number.

988920 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 23 ways as a sum of consecutive naturals, for example, 14727 + ... + 14793.

2988920 is an apocalyptic number.

988920 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 988920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670760).

988920 is an abundant number, since it is smaller than the sum of its proper divisors (2352600).

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

988920 is a wasteful number, since it uses less digits than its factorization.

988920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 988920 is about 994.4445685909. Note that the first 3 decimals coincide. The cubic root of 988920 is about 99.6292941364.

The spelling of 988920 in words is "nine hundred eighty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 67 72 82 90 120 123 134 164 180 201 205 246 268 328 335 360 369 402 410 492 536 603 615 670 738 804 820 984 1005 1206 1230 1340 1476 1608 1640 1845 2010 2412 2460 2680 2747 2952 3015 3690 4020 4824 4920 5494 6030 7380 8040 8241 10988 12060 13735 14760 16482 21976 24120 24723 27470 32964 41205 49446 54940 65928 82410 98892 109880 123615 164820 197784 247230 329640 494460 988920