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997040 = 245112103
BaseRepresentation
bin11110011011010110000
31212122200102
43303122300
5223401130
633211532
711321552
oct3633260
91778612
10997040
11621100
12400ba8
1328ba85
141bd4d2
1514a645
hexf36b0

997040 has 60 divisors (see below), whose sum is σ = 2572752. Its totient is φ = 359040.

The previous prime is 997037. The next prime is 997043. The reversal of 997040 is 40799.

997040 = T345 + T346 + ... + T360.

It is an interprime number because it is at equal distance from previous prime (997037) and next prime (997043).

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 996994 and 997012.

It is not an unprimeable number, because it can be changed into a prime (997043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9629 + ... + 9731.

2997040 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 997040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286376).

997040 is an abundant number, since it is smaller than the sum of its proper divisors (1575712).

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

997040 is a wasteful number, since it uses less digits than its factorization.

997040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 997040 is about 998.5189031761. The cubic root of 997040 is about 99.9012358218.

The spelling of 997040 in words is "nine hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 121 176 206 220 242 412 440 484 515 605 824 880 968 1030 1133 1210 1648 1936 2060 2266 2420 4120 4532 4840 5665 8240 9064 9680 11330 12463 18128 22660 24926 45320 49852 62315 90640 99704 124630 199408 249260 498520 997040