Search a number
-
+
195829440 = 2635203989
BaseRepresentation
bin10111010110000…
…01111011000000
3111122111011111020
423223001323000
5400113020230
631233145440
74565344212
oct1353017300
9448434436
10195829440
11a05a4614
12556bb280
1331756c11
141c0185b2
15122d3810
hexbac1ec0

195829440 has 56 divisors (see below), whose sum is σ = 621761520. Its totient is φ = 52220928.

The previous prime is 195829433. The next prime is 195829441. The reversal of 195829440 is 44928591.

It is a junction number, because it is equal to n+sod(n) for n = 195829392 and 195829401.

It is not an unprimeable number, because it can be changed into a prime (195829441) 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 7 ways as a sum of consecutive naturals, for example, 101035 + ... + 102954.

Almost surely, 2195829440 is an apocalyptic number.

195829440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

195829440 is an abundant number, since it is smaller than the sum of its proper divisors (425932080).

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

195829440 is a wasteful number, since it uses less digits than its factorization.

195829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204009 (or 203999 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 195829440 is about 13993.9072456552. The cubic root of 195829440 is about 580.7100301561.

The spelling of 195829440 in words is "one hundred ninety-five million, eight hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 203989 407978 611967 815956 1019945 1223934 1631912 2039890 2447868 3059835 3263824 4079780 4895736 6119670 6527648 8159560 9791472 12239340 13055296 16319120 19582944 24478680 32638240 39165888 48957360 65276480 97914720 195829440