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997890660 = 22325132511699
BaseRepresentation
bin111011011110101…
…001101001100100
32120112201002122100
4323132221221210
54020430000120
6243004132100
733504634134
oct7336515144
92515632570
10997890660
11472313028
1223a237030
1312b97c060
149675cac4
155c916490
hex3b7a9a64

997890660 has 144 divisors (see below), whose sum is σ = 3274689600. Its totient is φ = 244512000.

The previous prime is 997890653. The next prime is 997890671. The reversal of 997890660 is 66098799.

It is a junction number, because it is equal to n+sod(n) for n = 997890597 and 997890606.

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, 586491 + ... + 588189.

It is an arithmetic number, because the mean of its divisors is an integer number (22740900).

Almost surely, 2997890660 is an apocalyptic number.

997890660 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 997890660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637344800).

997890660 is an abundant number, since it is smaller than the sum of its proper divisors (2276798940).

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

997890660 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (997890659) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1978).

997890660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 997890660 is about 31589.4074018491. The cubic root of 997890660 is about 999.2963917182.

The spelling of 997890660 in words is "nine hundred ninety-seven million, eight hundred ninety thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 251 260 390 468 502 585 753 780 1004 1170 1255 1506 1699 2259 2340 2510 3012 3263 3398 3765 4518 5020 5097 6526 6796 7530 8495 9036 9789 10194 11295 13052 15060 15291 16315 16990 19578 20388 22087 22590 25485 29367 30582 32630 33980 39156 44174 45180 48945 50970 58734 61164 65260 66261 76455 88348 97890 101940 110435 117468 132522 146835 152910 195780 198783 220870 265044 293670 305820 331305 397566 426449 441740 587340 662610 795132 852898 993915 1279347 1325220 1705796 1987830 2132245 2558694 3838041 3975660 4264490 5117388 5543837 6396735 7676082 8528980 11087674 12793470 15352164 16631511 19190205 22175348 25586940 27719185 33263022 38380410 49894533 55438370 66526044 76760820 83157555 99789066 110876740 166315110 199578132 249472665 332630220 498945330 997890660