Search a number
-
+
1132312400 = 24522830781
BaseRepresentation
bin100001101111101…
…1011011101010000
32220220122102121022
41003133123131100
54304332444100
6304205215012
740026332222
oct10337333520
92826572538
101132312400
1153118507a
12277261468
1315078534b
14aa550412
1569619e85
hex437db750

1132312400 has 30 divisors (see below), whose sum is σ = 2720381502. Its totient is φ = 452924800.

The previous prime is 1132312399. The next prime is 1132312409. The reversal of 1132312400 is 42132311.

It can be written as a sum of positive squares in 3 ways, for example, as 263477824 + 868834576 = 16232^2 + 29476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132312409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1414991 + ... + 1415790.

Almost surely, 21132312400 is an apocalyptic number.

1132312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132312400 is an abundant number, since it is smaller than the sum of its proper divisors (1588069102).

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

1132312400 is a wasteful number, since it uses less digits than its factorization.

1132312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830799 (or 2830788 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1132312400 is about 33649.8499253711. The cubic root of 1132312400 is about 1042.2904401203.

Adding to 1132312400 its reverse (42132311), we get a palindrome (1174444711).

The spelling of 1132312400 in words is "one billion, one hundred thirty-two million, three hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2830781 5661562 11323124 14153905 22646248 28307810 45292496 56615620 70769525 113231240 141539050 226462480 283078100 566156200 1132312400