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997030800 = 243252276953
BaseRepresentation
bin111011011011010…
…111101110010000
32120111002102010200
4323123113232100
54020214441200
6242533455200
733464423223
oct7333275620
92514072120
10997030800
11471885aa7
12239aa1500
1312b73a86c
14965b75ba
155c7e6800
hex3b6d7b90

997030800 has 90 divisors (see below), whose sum is σ = 3459986322. Its totient is φ = 265873920.

The previous prime is 997030799. The next prime is 997030831. The reversal of 997030800 is 8030799.

It can be written as a sum of positive squares in 3 ways, for example, as 65804544 + 931226256 = 8112^2 + 30516^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×9970308002 = 1988140832297280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 134877 + ... + 142076.

Almost surely, 2997030800 is an apocalyptic number.

997030800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

997030800 is an abundant number, since it is smaller than the sum of its proper divisors (2462955522).

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

997030800 is a wasteful number, since it uses less digits than its factorization.

997030800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276977 (or 276963 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 997030800 is about 31575.7945268207. The cubic root of 997030800 is about 999.0092854755.

The spelling of 997030800 in words is "nine hundred ninety-seven million, thirty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 276953 553906 830859 1107812 1384765 1661718 2215624 2492577 2769530 3323436 4154295 4431248 4985154 5539060 6646872 6923825 8308590 9970308 11078120 12462885 13293744 13847650 16617180 19940616 20771475 22156240 24925770 27695300 33234360 39881232 41542950 49851540 55390600 62314425 66468720 83085900 99703080 110781200 124628850 166171800 199406160 249257700 332343600 498515400 997030800