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988000 = 25531319
BaseRepresentation
bin11110001001101100000
31212012021121
43301031200
5223104000
633102024
711253316
oct3611540
91765247
10988000
11615332
123b7914
13287920
141ba0b6
15147b1a
hexf1360

988000 has 96 divisors (see below), whose sum is σ = 2751840. Its totient is φ = 345600.

The previous prime is 987997. The next prime is 988007. The reversal of 988000 is 889.

It is a super-2 number, since 2×9880002 = 1952288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51991 + ... + 52009.

It is an arithmetic number, because the mean of its divisors is an integer number (28665).

2988000 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 988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375920).

988000 is an abundant number, since it is smaller than the sum of its proper divisors (1763840).

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

988000 is a wasteful number, since it uses less digits than its factorization.

988000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 988000 is about 993.9818911831. The cubic root of 988000 is about 99.5983892472.

Adding to 988000 its reverse (889), we get a palindrome (988889).

The spelling of 988000 in words is "nine hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 65 76 80 95 100 104 125 130 152 160 190 200 208 247 250 260 304 325 380 400 416 475 494 500 520 608 650 760 800 950 988 1000 1040 1235 1300 1520 1625 1900 1976 2000 2080 2375 2470 2600 3040 3250 3800 3952 4000 4750 4940 5200 6175 6500 7600 7904 9500 9880 10400 12350 13000 15200 19000 19760 24700 26000 30875 38000 39520 49400 52000 61750 76000 98800 123500 197600 247000 494000 988000