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997828920 = 2332511222907
BaseRepresentation
bin111011011110011…
…010100100111000
32120112120221221200
4323132122210320
54020421011140
6243002534200
733504256134
oct7336324470
92515527850
10997828920
11472280700
1223a207360
1312b959c1a
14967443c4
155c903030
hex3b79a938

997828920 has 144 divisors (see below), whose sum is σ = 3564713880. Its totient is φ = 241887360.

The previous prime is 997828903. The next prime is 997828963. The reversal of 997828920 is 29828799.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 32107 + ... + 55013.

Almost surely, 2997828920 is an apocalyptic number.

997828920 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 997828920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782356940).

997828920 is an abundant number, since it is smaller than the sum of its proper divisors (2566884960).

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

997828920 is a wasteful number, since it uses less digits than its factorization.

997828920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22946 (or 22928 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 997828920 is about 31588.4301604242. The cubic root of 997828920 is about 999.2757823020.

The spelling of 997828920 in words is "nine hundred ninety-seven million, eight hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 22907 43560 45814 68721 91628 114535 137442 183256 206163 229070 251977 274884 343605 412326 458140 503954 549768 687210 755931 824652 916280 1007908 1030815 1259885 1374420 1511862 1649304 2015816 2061630 2267793 2519770 2748840 2771747 3023724 3779655 4123260 4535586 5039540 5543494 6047448 7559310 8246520 8315241 9071172 10079080 11086988 11338965 13858735 15118620 16630482 18142344 22173976 22677930 24945723 27717470 30237240 33260964 41576205 45355860 49891446 55434940 66521928 83152410 90711720 99782892 110869880 124728615 166304820 199565784 249457230 332609640 498914460 997828920