Search a number
-
+
1131209172 = 2233175931039
BaseRepresentation
bin100001101101100…
…1110000111010100
32220211120101021000
41003123032013110
54304042143142
6304125423300
740014055632
oct10333160724
92824511230
101131209172
115305a1215
12276a0ab30
1315048a152
14aa344352
156949d14c
hex436ce1d4

1131209172 has 96 divisors (see below), whose sum is σ = 3113510400. Its totient is φ = 353949696.

The previous prime is 1131209153. The next prime is 1131209197. The reversal of 1131209172 is 2719021311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1088229 + ... + 1089267.

It is an arithmetic number, because the mean of its divisors is an integer number (32432400).

Almost surely, 21131209172 is an apocalyptic number.

1131209172 is a gapful number since it is divisible by the number (12) 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 1131209172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556755200).

1131209172 is an abundant number, since it is smaller than the sum of its proper divisors (1982301228).

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

1131209172 is a wasteful number, since it uses less digits than its factorization.

1131209172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1131209172 is about 33633.4531679398. The cubic root of 1131209172 is about 1041.9518240136.

The spelling of 1131209172 in words is "one billion, one hundred thirty-one million, two hundred nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 593 612 918 1039 1186 1779 1836 2078 2372 3117 3558 4156 5337 6234 7116 9351 10081 10674 12468 16011 17663 18702 20162 21348 28053 30243 32022 35326 37404 40324 52989 56106 60486 64044 70652 90729 105978 112212 120972 158967 181458 211956 272187 317934 362916 476901 544374 616127 635868 953802 1088748 1232254 1848381 1907604 2464508 3696762 5545143 7393524 10474159 11090286 16635429 20948318 22180572 31422477 33270858 41896636 62844954 66541716 94267431 125689908 188534862 282802293 377069724 565604586 1131209172