Search a number
-
+
196348600 = 23527140249
BaseRepresentation
bin10111011010000…
…00101010111000
3111200110112122101
423231000222320
5400231123400
631252233144
74602635620
oct1355005270
9450415571
10196348600
11a0919678
125590b7b4
13318a9306
141c111880
151238756a
hexbb40ab8

196348600 has 48 divisors (see below), whose sum is σ = 521730000. Its totient is φ = 67319040.

The previous prime is 196348597. The next prime is 196348609. The reversal of 196348600 is 6843691.

It is a self number, because there is not a number n which added to its sum of digits gives 196348600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196348609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68725 + ... + 71524.

It is an arithmetic number, because the mean of its divisors is an integer number (10869375).

Almost surely, 2196348600 is an apocalyptic number.

196348600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196348600 is an abundant number, since it is smaller than the sum of its proper divisors (325381400).

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

196348600 is a wasteful number, since it uses less digits than its factorization.

196348600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140272 (or 140263 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 196348600 is about 14012.4444691139. Note that the first 4 decimals coincide. The cubic root of 196348600 is about 581.2227474023. Note that the first 3 decimals are identical.

The spelling of 196348600 in words is "one hundred ninety-six million, three hundred forty-eight thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 140249 280498 560996 701245 981743 1121992 1402490 1963486 2804980 3506225 3926972 4908715 5609960 7012450 7853944 9817430 14024900 19634860 24543575 28049800 39269720 49087150 98174300 196348600