Search a number
-
+
196140 = 22357467
BaseRepresentation
bin101111111000101100
3100222001110
4233320230
522234030
64112020
71444560
oct577054
9328043
10196140
111243aa
1295610
136b379
14516a0
153d1b0
hex2fe2c

196140 has 48 divisors (see below), whose sum is σ = 628992. Its totient is φ = 44736.

The previous prime is 196139. The next prime is 196159. The reversal of 196140 is 41691.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 187 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2196140 is an apocalyptic number.

196140 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 196140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496).

196140 is an abundant number, since it is smaller than the sum of its proper divisors (432852).

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

196140 is a wasteful number, since it uses less digits than its factorization.

196140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 196140 is about 442.8769580820. The cubic root of 196140 is about 58.1016844862.

Subtracting from 196140 its reverse (41691), we obtain a square (154449 = 3932).

It can be divided in two parts, 1 and 96140, that added together give a triangular number (96141 = T438).

The spelling of 196140 in words is "one hundred ninety-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 467 934 1401 1868 2335 2802 3269 4670 5604 6538 7005 9340 9807 13076 14010 16345 19614 28020 32690 39228 49035 65380 98070 196140