Search a number
-
+
1113432768 = 263272711019
BaseRepresentation
bin100001001011101…
…1010001011000000
32212121010020121200
41002113122023000
54240014322033
6302252421200
736410010450
oct10227321300
92777106550
101113432768
1152155a578
12270a77800
131498a4b76
14a7c37d60
1567b3b013
hex425da2c0

1113432768 has 168 divisors, whose sum is σ = 3664427520. Its totient is φ = 316638720.

The previous prime is 1113432707. The next prime is 1113432769. The reversal of 1113432768 is 8672343111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×11134327682 = 2479465057712283648, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1113432769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092163 + ... + 1093181.

Almost surely, 21113432768 is an apocalyptic number.

1113432768 is a gapful number since it is divisible by the number (18) 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 1113432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832213760).

1113432768 is an abundant number, since it is smaller than the sum of its proper divisors (2550994752).

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

1113432768 is a wasteful number, since it uses less digits than its factorization.

1113432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1302 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1113432768 is about 33368.1400140913. The cubic root of 1113432768 is about 1036.4650595611.

Adding to 1113432768 its reverse (8672343111), we get a palindrome (9785775879).

The spelling of 1113432768 in words is "one billion, one hundred thirteen million, four hundred thirty-two thousand, seven hundred sixty-eight".