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189030240 = 25335721947
BaseRepresentation
bin10110100010001…
…01111101100000
3111011200201202000
423101011331200
5341342431430
630431324000
74453505400
oct1321057540
9434621660
10189030240
1197780243
1253380600
1330216219
141b168800
15118dde60
hexb445f60

189030240 has 576 divisors, whose sum is σ = 827366400. Its totient is φ = 40061952.

The previous prime is 189030239. The next prime is 189030241. The reversal of 189030240 is 42030981.

It is an interprime number because it is at equal distance from previous prime (189030239) and next prime (189030241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189030241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4021897 + ... + 4021943.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2189030240 is an apocalyptic number.

189030240 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 189030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

189030240 is an abundant number, since it is smaller than the sum of its proper divisors (638336160).

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

189030240 is a wasteful number, since it uses less digits than its factorization.

189030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 189030240 is about 13748.8268590451. The cubic root of 189030240 is about 573.9099600984.

It can be divided in two parts, 1890 and 30240, that multiplied together give a square (57153600 = 75602).

The spelling of 189030240 in words is "one hundred eighty-nine million, thirty thousand, two hundred forty".