Search a number
-
+
1132679925 = 3252133531097
BaseRepresentation
bin100001110000011…
…0101001011110101
32220221100002202100
41003200311023311
54304431224200
6304221132313
740032422556
oct10340651365
92827302670
101132679925
11531406213
122773ba099
13150883710
14aa60832d
156968dd00
hex438352f5

1132679925 has 72 divisors (see below), whose sum is σ = 2193000264. Its totient is φ = 555540480.

The previous prime is 1132679909. The next prime is 1132679929. The reversal of 1132679925 is 5299762311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 682306641 + 450373284 = 26121^2 + 21222^2 .

It is not a de Polignac number, because 1132679925 - 24 = 1132679909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132679929) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1031977 + ... + 1033073.

It is an arithmetic number, because the mean of its divisors is an integer number (30458337).

Almost surely, 21132679925 is an apocalyptic number.

1132679925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1132679925 is a deficient number, since it is larger than the sum of its proper divisors (1060320339).

1132679925 is a wasteful number, since it uses less digits than its factorization.

1132679925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1471 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 1132679925 is about 33655.3105022075. The cubic root of 1132679925 is about 1042.4031965045.

The spelling of 1132679925 in words is "one billion, one hundred thirty-two million, six hundred seventy-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 353 585 975 1059 1097 1765 2925 3177 3291 4589 5295 5485 8825 9873 13767 14261 15885 16455 22945 26475 27425 41301 42783 49365 68835 71305 79425 82275 114725 128349 206505 213915 246825 344175 356525 387241 641745 1032525 1069575 1161723 1936205 3208725 3485169 5034133 5808615 9681025 15102399 17425845 25170665 29043075 45307197 75511995 87129225 125853325 226535985 377559975 1132679925