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197090920 = 235132691409
BaseRepresentation
bin10111011111101…
…01111001101000
3111201212020220201
423233311321220
5400423402140
631320201544
74612150045
oct1357657150
9451766821
10197090920
11a1286364
12560092b4
1331aa9160
141c2661cc
151248249a
hexbbf5e68

197090920 has 64 divisors (see below), whose sum is σ = 479682000. Its totient is φ = 72450048.

The previous prime is 197090917. The next prime is 197090921. The reversal of 197090920 is 29090791.

It can be written as a sum of positive squares in 8 ways, for example, as 1258884 + 195832036 = 1122^2 + 13994^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 197090920.

It is not an unprimeable number, because it can be changed into a prime (197090921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139176 + ... + 140584.

Almost surely, 2197090920 is an apocalyptic number.

197090920 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 197090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239841000).

197090920 is an abundant number, since it is smaller than the sum of its proper divisors (282591080).

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

197090920 is a wasteful number, since it uses less digits than its factorization.

197090920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 37.

The square root of 197090920 is about 14038.9073648913. The cubic root of 197090920 is about 581.9542876123.

The spelling of 197090920 in words is "one hundred ninety-seven million, ninety thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 269 520 538 1076 1345 1409 2152 2690 2818 3497 5380 5636 6994 7045 10760 11272 13988 14090 17485 18317 27976 28180 34970 36634 56360 69940 73268 91585 139880 146536 183170 366340 379021 732680 758042 1516084 1895105 3032168 3790210 4927273 7580420 9854546 15160840 19709092 24636365 39418184 49272730 98545460 197090920