Search a number
-
+
1189480320 = 27325729501
BaseRepresentation
bin100011011100110…
…0000011110000000
310001220012212020200
41012321200132000
54414001332240
6314010405200
741322262440
oct10671403600
93056185220
101189480320
11560481196
12292430800
1315c580212
14b3d92120
156e65d930
hex46e60780

1189480320 has 192 divisors, whose sum is σ = 4694358240. Its totient is φ = 271872000.

The previous prime is 1189480291. The next prime is 1189480337. The reversal of 1189480320 is 230849811.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 25570 + ... + 55070.

Almost surely, 21189480320 is an apocalyptic number.

1189480320 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 1189480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347179120).

1189480320 is an abundant number, since it is smaller than the sum of its proper divisors (3504877920).

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

1189480320 is a wasteful number, since it uses less digits than its factorization.

1189480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29533 (or 29518 counting only the distinct ones).

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

The square root of 1189480320 is about 34488.8434134866. The cubic root of 1189480320 is about 1059.5442208076.

The spelling of 1189480320 in words is "one billion, one hundred eighty-nine million, four hundred eighty thousand, three hundred twenty".