Search a number
-
+
1119803328 = 26327172312
BaseRepresentation
bin100001010111110…
…1101011111000000
32220001002220101100
41002233231133000
54243132201303
6303041134400
736515112510
oct10257553700
92801086340
101119803328
115251108a6
1227302a400
1314acc5727
14a8a15840
15684988a3
hex42bed7c0

1119803328 has 378 divisors, whose sum is σ = 4026472008. Its totient is φ = 291409920.

The previous prime is 1119803299. The next prime is 1119803329. The reversal of 1119803328 is 8233089111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1119803292 and 1119803301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1119803329) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 36122673 + ... + 36122703.

Almost surely, 21119803328 is an apocalyptic number.

1119803328 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 1119803328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013236004).

1119803328 is an abundant number, since it is smaller than the sum of its proper divisors (2906668680).

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

1119803328 is a wasteful number, since it uses less digits than its factorization.

1119803328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1119803328 is about 33463.4625823449. The cubic root of 1119803328 is about 1038.4380300142.

The spelling of 1119803328 in words is "one billion, one hundred nineteen million, eight hundred three thousand, three hundred twenty-eight".