Search a number
-
+
197880 = 23351797
BaseRepresentation
bin110000010011111000
3101001102220
4300103320
522313010
64124040
71452624
oct602370
9331386
10197880
11125741
1296620
136c0b7
1452184
153d970
hex304f8

197880 has 64 divisors (see below), whose sum is σ = 635040. Its totient is φ = 49152.

The previous prime is 197837. The next prime is 197887. The reversal of 197880 is 88791.

197880 = T144 + T145 + ... + T160.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197887) 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, 1992 + ... + 2088.

2197880 is an apocalyptic number.

197880 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 197880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520).

197880 is an abundant number, since it is smaller than the sum of its proper divisors (437160).

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

197880 is a wasteful number, since it uses less digits than its factorization.

197880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 197880 is about 444.8370488168. The cubic root of 197880 is about 58.2729897526.

The spelling of 197880 in words is "one hundred ninety-seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 97 102 120 136 170 194 204 255 291 340 388 408 485 510 582 680 776 970 1020 1164 1455 1649 1940 2040 2328 2910 3298 3880 4947 5820 6596 8245 9894 11640 13192 16490 19788 24735 32980 39576 49470 65960 98940 197880