Search a number
-
+
1132498800 = 243352195519
BaseRepresentation
bin100001110000000…
…1000111101110000
32220220222220022000
41003200020331300
54304404430200
6304213214000
740031036526
oct10340107560
92826886260
101132498800
115312a2124
12277331300
1315081c144
14aa59c316
1569655300
hex43808f70

1132498800 has 240 divisors, whose sum is σ = 4243776000. Its totient is φ = 286053120.

The previous prime is 1132498739. The next prime is 1132498831. The reversal of 1132498800 is 88942311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202441 + ... + 207959.

It is an arithmetic number, because the mean of its divisors is an integer number (17682400).

Almost surely, 21132498800 is an apocalyptic number.

1132498800 is a gapful number since it is divisible by the number (10) 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 1132498800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121888000).

1132498800 is an abundant number, since it is smaller than the sum of its proper divisors (3111277200).

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

1132498800 is a wasteful number, since it uses less digits than its factorization.

1132498800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1132498800 is about 33652.6195117111. The cubic root of 1132498800 is about 1042.3476305441.

The spelling of 1132498800 in words is "one billion, one hundred thirty-two million, four hundred ninety-eight thousand, eight hundred".