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197960 = 23572101
BaseRepresentation
bin110000010101001000
3101001112212
4300111020
522313320
64124252
71453100
oct602510
9331485
10197960
11125804
1296688
136c149
1452200
153d9c5
hex30548

197960 has 48 divisors (see below), whose sum is σ = 523260. Its totient is φ = 67200.

The previous prime is 197959. The next prime is 197963. The reversal of 197960 is 69791.

It can be written as a sum of positive squares in 2 ways, for example, as 188356 + 9604 = 434^2 + 98^2 .

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (197963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1910 + ... + 2010.

2197960 is an apocalyptic number.

197960 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 197960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261630).

197960 is an abundant number, since it is smaller than the sum of its proper divisors (325300).

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

197960 is a wasteful number, since it uses less digits than its factorization.

197960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 197960 is about 444.9269602980. The cubic root of 197960 is about 58.2808416681.

The spelling of 197960 in words is "one hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 101 140 196 202 245 280 392 404 490 505 707 808 980 1010 1414 1960 2020 2828 3535 4040 4949 5656 7070 9898 14140 19796 24745 28280 39592 49490 98980 197960