Search a number
-
+
1195968144 = 243712728027
BaseRepresentation
bin100011101001001…
…0000011010010000
310002100102110212110
41013102100122100
54422131440034
6314401425320
741431363410
oct10722203220
93070373773
101195968144
11564102628
1229463b240
13160a12277
14b4ba0640
156eee0de9
hex47490690

1195968144 has 80 divisors (see below), whose sum is σ = 3558883328. Its totient is φ = 339002496.

The previous prime is 1195968143. The next prime is 1195968181. The reversal of 1195968144 is 4418695911.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1195968093 and 1195968102.

It is not an unprimeable number, because it can be changed into a prime (1195968143) 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 15 ways as a sum of consecutive naturals, for example, 28659 + ... + 56685.

Almost surely, 21195968144 is an apocalyptic number.

1195968144 is a gapful number since it is divisible by the number (14) 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 1195968144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779441664).

1195968144 is an abundant number, since it is smaller than the sum of its proper divisors (2362915184).

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

1195968144 is a wasteful number, since it uses less digits than its factorization.

1195968144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28172 (or 28166 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The square root of 1195968144 is about 34582.7723585024. The cubic root of 1195968144 is about 1061.4670986942.

The spelling of 1195968144 in words is "one billion, one hundred ninety-five million, nine hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 3048 3556 5334 6096 7112 10668 14224 21336 28027 42672 56054 84081 112108 168162 196189 224216 336324 392378 448432 588567 672648 784756 1177134 1345296 1569512 2354268 3139024 3559429 4708536 7118858 9417072 10678287 14237716 21356574 24916003 28475432 42713148 49832006 56950864 74748009 85426296 99664012 149496018 170852592 199328024 298992036 398656048 597984072 1195968144