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997608780 = 2232573072579
BaseRepresentation
bin111011011101100…
…100110101001100
32120112011202222100
4323131210311030
54020341440110
6242554115100
733502351260
oct7335446514
92515152870
10997608780
11472140273
1223a11ba90
1312b8b096c
14966c80a0
155c8acbc0
hex3b764d4c

997608780 has 144 divisors (see below), whose sum is σ = 3470987520. Its totient is φ = 227193984.

The previous prime is 997608769. The next prime is 997608797. The reversal of 997608780 is 87806799.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385531 + ... + 388109.

It is an arithmetic number, because the mean of its divisors is an integer number (24104080).

Almost surely, 2997608780 is an apocalyptic number.

997608780 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997608780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735493760).

997608780 is an abundant number, since it is smaller than the sum of its proper divisors (2473378740).

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

997608780 is a wasteful number, since it uses less digits than its factorization.

997608780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 997608780 is about 31584.9454645722. The cubic root of 997608780 is about 999.2022904954.

The spelling of 997608780 in words is "nine hundred ninety-seven million, six hundred eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 307 315 420 614 630 921 1228 1260 1535 1842 2149 2579 2763 3070 3684 4298 4605 5158 5526 6140 6447 7737 8596 9210 10316 10745 11052 12894 12895 13815 15474 18053 18420 19341 21490 23211 25788 25790 27630 30948 32235 36106 38682 38685 42980 46422 51580 54159 55260 64470 72212 77364 77370 90265 92844 96705 108318 116055 128940 154740 162477 180530 193410 216636 232110 270795 324954 361060 386820 464220 541590 649908 791753 812385 1083180 1583506 1624770 2375259 3167012 3249540 3958765 4750518 5542271 7125777 7917530 9501036 11084542 11876295 14251554 15835060 16626813 22169084 23752590 27711355 28503108 33253626 35628885 47505180 49880439 55422710 66507252 71257770 83134065 99760878 110845420 142515540 166268130 199521756 249402195 332536260 498804390 997608780