Search a number
-
+
1153204430 = 257192921031
BaseRepresentation
bin100010010111100…
…1000000011001110
32222100221212002012
41010233020003032
54330210020210
6310233101222
740402035020
oct10457100316
92870855065
101153204430
11541a54614
12282257812
13154bbb7b1
14ad22c010
156b395305
hex44bc80ce

1153204430 has 96 divisors (see below), whose sum is σ = 2588751360. Its totient is φ = 361307520.

The previous prime is 1153204427. The next prime is 1153204439. The reversal of 1153204430 is 344023511.

It is a junction number, because it is equal to n+sod(n) for n = 1153204396 and 1153204405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153204439) 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 47 ways as a sum of consecutive naturals, for example, 1118015 + ... + 1119045.

It is an arithmetic number, because the mean of its divisors is an integer number (26966160).

Almost surely, 21153204430 is an apocalyptic number.

1153204430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1153204430 is an abundant number, since it is smaller than the sum of its proper divisors (1435546930).

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

1153204430 is a wasteful number, since it uses less digits than its factorization.

1153204430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1153204430 is about 33958.8637913579. The cubic root of 1153204430 is about 1048.6617660334.

Adding to 1153204430 its reverse (344023511), we get a palindrome (1497227941).

The spelling of 1153204430 in words is "one billion, one hundred fifty-three million, two hundred four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 19 29 35 38 58 70 95 133 145 190 203 266 290 406 551 665 841 1015 1031 1102 1330 1682 2030 2062 2755 3857 4205 5155 5510 5887 7217 7714 8410 10310 11774 14434 15979 19285 19589 29435 29899 31958 36085 38570 39178 58870 59798 72170 79895 97945 111853 137123 149495 159790 195890 209293 223706 274246 298990 418586 559265 568081 685615 867071 1046465 1118530 1136162 1371230 1734142 2092930 2840405 3976567 4335355 5680810 6069497 7953134 8670710 12138994 16474349 19882835 30347485 32948698 39765670 60694970 82371745 115320443 164743490 230640886 576602215 1153204430