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997100 = 225213259
BaseRepresentation
bin11110011011011101100
31212122202122
43303123230
5223401400
633212112
711321666
oct3633354
91778678
10997100
11621155
12401038
1328bb00
141bd536
1514a685
hexf36ec

997100 has 54 divisors (see below), whose sum is σ = 2382660. Its totient is φ = 361920.

The previous prime is 997099. The next prime is 997103. The reversal of 997100 is 1799.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 997100.

It is not an unprimeable number, because it can be changed into a prime (997103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16871 + ... + 16929.

2997100 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 997100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191330).

997100 is an abundant number, since it is smaller than the sum of its proper divisors (1385560).

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

997100 is a wasteful number, since it uses less digits than its factorization.

997100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 26.

The square root of 997100 is about 998.5489472229. The cubic root of 997100 is about 99.9032397380.

Adding to 997100 its reverse (1799), we get a palindrome (998899).

The spelling of 997100 in words is "nine hundred ninety-seven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 130 169 236 260 295 325 338 590 650 676 767 845 1180 1300 1475 1534 1690 2950 3068 3380 3835 4225 5900 7670 8450 9971 15340 16900 19175 19942 38350 39884 49855 76700 99710 199420 249275 498550 997100