Search a number
-
+
188023680 = 273651331
BaseRepresentation
bin10110011010100…
…00001110000000
3111002210121000000
423031100032000
5341113224210
630354000000
74442113665
oct1315201600
9432717000
10188023680
1197152a79
1252b76000
132cc53020
141ad85a6c
1511790ac0
hexb350380

188023680 has 448 divisors, whose sum is σ = 749185920. Its totient is φ = 44789760.

The previous prime is 188023679. The next prime is 188023681. The reversal of 188023680 is 86320881.

It is an interprime number because it is at equal distance from previous prime (188023679) and next prime (188023681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188023681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6065265 + ... + 6065295.

It is an arithmetic number, because the mean of its divisors is an integer number (1672290).

Almost surely, 2188023680 is an apocalyptic number.

188023680 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 188023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374592960).

188023680 is an abundant number, since it is smaller than the sum of its proper divisors (561162240).

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

188023680 is an equidigital number, since it uses as much as digits as its factorization.

188023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 188023680 is about 13712.1726943618. The cubic root of 188023680 is about 572.8894828108.

The spelling of 188023680 in words is "one hundred eighty-eight million, twenty-three thousand, six hundred eighty".