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1997797000 = 235310718671
BaseRepresentation
bin111011100010011…
…1111011010001000
312011020012121021111
41313010333122020
513042414001000
6530123420104
7100335665023
oct16704773210
95136177244
101997797000
11935782501
12479084634
1325ab85704
1414d4841ba
15ba5c9cba
hex7713f688

1997797000 has 64 divisors (see below), whose sum is σ = 4718787840. Its totient is φ = 791608000.

The previous prime is 1997796989. The next prime is 1997797001. The reversal of 1997797000 is 7977991.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1997797001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 97665 + ... + 116335.

It is an arithmetic number, because the mean of its divisors is an integer number (73731060).

Almost surely, 21997797000 is an apocalyptic number.

1997797000 is a gapful number since it is divisible by the number (10) 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 1997797000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359393920).

1997797000 is an abundant number, since it is smaller than the sum of its proper divisors (2720990840).

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

1997797000 is a wasteful number, since it uses less digits than its factorization.

1997797000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18799 (or 18785 counting only the distinct ones).

The product of its (nonzero) digits is 250047, while the sum is 49.

The square root of 1997797000 is about 44696.7224749198. The cubic root of 1997797000 is about 1259.4582789270.

The spelling of 1997797000 in words is "one billion, nine hundred ninety-seven million, seven hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1070 2140 2675 4280 5350 10700 13375 18671 21400 26750 37342 53500 74684 93355 107000 149368 186710 373420 466775 746840 933550 1867100 1997797 2333875 3734200 3995594 4667750 7991188 9335500 9988985 15982376 18671000 19977970 39955940 49944925 79911880 99889850 199779700 249724625 399559400 499449250 998898500 1997797000