Search a number
-
+
188480000 = 29541931
BaseRepresentation
bin10110011101111…
…11101000000000
3111010122202221202
423032333220000
5341222330000
630411440332
74446024242
oct1316775000
9433582852
10188480000
11974348a5
12531560a8
1330082937
141b064092
1511830dd5
hexb3bfa00

188480000 has 200 divisors, whose sum is σ = 511336320. Its totient is φ = 69120000.

The previous prime is 188479999. The next prime is 188480023. The reversal of 188480000 is 84881.

188480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6079985 + ... + 6080015.

Almost surely, 2188480000 is an apocalyptic number.

188480000 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 188480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255668160).

188480000 is an abundant number, since it is smaller than the sum of its proper divisors (322856320).

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

188480000 is an frugal number, since it uses more digits than its factorization.

188480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 188480000 is about 13728.8018413844. The cubic root of 188480000 is about 573.3525623020.

The spelling of 188480000 in words is "one hundred eighty-eight million, four hundred eighty thousand".