Search a number
-
+
1119688380 = 2233531211317
BaseRepresentation
bin100001010111101…
…0001011010111100
32220000220001201000
41002233101122330
54243120012010
6303034450300
736514123416
oct10257213274
92800801630
101119688380
115250424a8
12272b93990
1314ac85305
14a89c59b6
15684747c0
hex42bd16bc

1119688380 has 192 divisors, whose sum is σ = 3624284160. Its totient is φ = 286675200.

The previous prime is 1119688313. The next prime is 1119688387. The reversal of 1119688380 is 838869111.

1119688380 is a `hidden beast` number, since 1 + 1 + 196 + 88 + 380 = 666.

1119688380 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1119688387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3531982 + ... + 3532298.

It is an arithmetic number, because the mean of its divisors is an integer number (18876480).

Almost surely, 21119688380 is an apocalyptic number.

1119688380 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 1119688380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812142080).

1119688380 is an abundant number, since it is smaller than the sum of its proper divisors (2504595780).

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

1119688380 is a wasteful number, since it uses less digits than its factorization.

1119688380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1119688380 is about 33461.7450232351. The cubic root of 1119688380 is about 1038.4024968522.

The spelling of 1119688380 in words is "one billion, one hundred nineteen million, six hundred eighty-eight thousand, three hundred eighty".