Search a number
-
+
1380189888 = 263371122341
BaseRepresentation
bin101001001000100…
…0000011011000000
310120012001220121000
41102101000123000
510311312034023
6344542132000
746126264140
oct12221003300
93505056530
101380189888
11649099100
12326281000
1318cc3390c
14d1436920
1581280243
hex524406c0

1380189888 has 672 divisors, whose sum is σ = 5448360960. Its totient is φ = 334540800.

The previous prime is 1380189851. The next prime is 1380189901. The reversal of 1380189888 is 8889810831.

1380189888 is a `hidden beast` number, since 1 + 380 + 189 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33663148 + ... + 33663188.

It is an arithmetic number, because the mean of its divisors is an integer number (8107680).

Almost surely, 21380189888 is an apocalyptic number.

1380189888 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 1380189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724180480).

1380189888 is an abundant number, since it is smaller than the sum of its proper divisors (4068171072).

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

1380189888 is a wasteful number, since it uses less digits than its factorization.

1380189888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 54.

The square root of 1380189888 is about 37150.9069606652. The cubic root of 1380189888 is about 1113.3873442031.

The spelling of 1380189888 in words is "one billion, three hundred eighty million, one hundred eighty-nine thousand, eight hundred eighty-eight".