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196040 = 23513229
BaseRepresentation
bin101111110111001000
3100221220202
4233313020
522233130
64111332
71444355
oct576710
9327822
10196040
11124319
1295548
136b300
145162c
153d145
hex2fdc8

196040 has 48 divisors (see below), whose sum is σ = 494100. Its totient is φ = 69888.

The previous prime is 196039. The next prime is 196043. The reversal of 196040 is 40691.

196040 = 512 + 522 + ... + 892.

It can be written as a sum of positive squares in 6 ways, for example, as 21316 + 174724 = 146^2 + 418^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (196043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6746 + ... + 6774.

2196040 is an apocalyptic number.

196040 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 196040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247050).

196040 is an abundant number, since it is smaller than the sum of its proper divisors (298060).

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

196040 is a wasteful number, since it uses less digits than its factorization.

196040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 196040 is about 442.7640455141. The cubic root of 196040 is about 58.0918086218.

It can be divided in two parts, 1960 and 40, that multiplied together give a square (78400 = 2802).

The spelling of 196040 in words is "one hundred ninety-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 169 232 260 290 338 377 520 580 676 754 845 1160 1352 1508 1690 1885 3016 3380 3770 4901 6760 7540 9802 15080 19604 24505 39208 49010 98020 196040