Search a number
-
+
1132031400 = 2335219199499
BaseRepresentation
bin100001101111001…
…0110110110101000
32220220010011010220
41003132112312220
54304300001100
6304155210040
740024052043
oct10336266650
92826104126
101132031400
11531002a45
12277146920
131506b7486
14aa4b9c5a
15695b1aa0
hex43796da8

1132031400 has 192 divisors, whose sum is σ = 3720000000. Its totient is φ = 283979520.

The previous prime is 1132031363. The next prime is 1132031423. The reversal of 1132031400 is 41302311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1132031400.

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, 2268351 + ... + 2268849.

It is an arithmetic number, because the mean of its divisors is an integer number (19375000).

Almost surely, 21132031400 is an apocalyptic number.

1132031400 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 1132031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860000000).

1132031400 is an abundant number, since it is smaller than the sum of its proper divisors (2587968600).

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

1132031400 is a wasteful number, since it uses less digits than its factorization.

1132031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1132031400 is about 33645.6743133497. The cubic root of 1132031400 is about 1042.2042130788.

Adding to 1132031400 its reverse (41302311), we get a palindrome (1173333711).

The spelling of 1132031400 in words is "one billion, one hundred thirty-two million, thirty-one thousand, four hundred".