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997269840 = 24335765957
BaseRepresentation
bin111011011100010…
…010000101010000
32120111112120001000
4323130102011100
54020300113330
6242542542000
733466440150
oct7334220520
92514476030
10997269840
11471a29656
12239b97900
1312b7c25c8
149663a760
155c842560
hex3b712150

997269840 has 160 divisors (see below), whose sum is σ = 3925820160. Its totient is φ = 227943936.

The previous prime is 997269839. The next prime is 997269877. The reversal of 997269840 is 48962799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17859 + ... + 48098.

It is an arithmetic number, because the mean of its divisors is an integer number (24536376).

Almost surely, 2997269840 is an apocalyptic number.

997269840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

997269840 is an abundant number, since it is smaller than the sum of its proper divisors (2928550320).

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

997269840 is a wasteful number, since it uses less digits than its factorization.

997269840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65986 (or 65974 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 997269840 is about 31579.5794778841. The cubic root of 997269840 is about 999.0891172111.

The spelling of 997269840 in words is "nine hundred ninety-seven million, two hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 65957 131914 197871 263828 329785 395742 461699 527656 593613 659570 791484 923398 989355 1055312 1187226 1319140 1385097 1582968 1780839 1846796 1978710 2308495 2374452 2638280 2770194 2968065 3165936 3561678 3693592 3957420 4155291 4616990 4748904 5276560 5540388 5936130 6925485 7123356 7387184 7914840 8310582 8904195 9233980 9497808 11080776 11872260 12465873 13850970 14246712 15829680 16621164 17808390 18467960 20776455 22161552 23744520 24931746 27701940 28493424 33242328 35616780 36935920 41552910 47489040 49863492 55403880 62329365 66484656 71233560 83105820 99726984 110807760 124658730 142467120 166211640 199453968 249317460 332423280 498634920 997269840