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997880 = 2351319101
BaseRepresentation
bin11110011100111111000
31212200211112
43303213320
5223413010
633215452
711324162
oct3634770
91780745
10997880
116217a4
12401588
1328c280
141bd932
1514aa05
hexf39f8

997880 has 64 divisors (see below), whose sum is σ = 2570400. Its totient is φ = 345600.

The previous prime is 997879. The next prime is 997889. The reversal of 997880 is 88799.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997889) 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 15 ways as a sum of consecutive naturals, for example, 9830 + ... + 9930.

2997880 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 997880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200).

997880 is an abundant number, since it is smaller than the sum of its proper divisors (1572520).

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

997880 is a wasteful number, since it uses less digits than its factorization.

997880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The square root of 997880 is about 998.9394376037. The cubic root of 997880 is about 99.9292833367.

The spelling of 997880 in words is "nine hundred ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 101 104 130 152 190 202 247 260 380 404 494 505 520 760 808 988 1010 1235 1313 1919 1976 2020 2470 2626 3838 4040 4940 5252 6565 7676 9595 9880 10504 13130 15352 19190 24947 26260 38380 49894 52520 76760 99788 124735 199576 249470 498940 997880