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1868428080 = 243351953859
BaseRepresentation
bin110111101011101…
…1111001100110000
311211012202222111000
41233113133030300
512311304144310
6505222522000
764205243121
oct15727371460
94735688430
101868428080
11879751742
12441896300
1323a12b25c
1413a20a048
15ae0734c0
hex6f5df330

1868428080 has 320 divisors, whose sum is σ = 6910272000. Its totient is φ = 462578688.

The previous prime is 1868428043. The next prime is 1868428123. The reversal of 1868428080 is 808248681.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2174691 + ... + 2175549.

It is an arithmetic number, because the mean of its divisors is an integer number (21594600).

Almost surely, 21868428080 is an apocalyptic number.

1868428080 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 1868428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455136000).

1868428080 is an abundant number, since it is smaller than the sum of its proper divisors (5041843920).

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

1868428080 is a wasteful number, since it uses less digits than its factorization.

1868428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 1868428080 is about 43225.3175812509. The cubic root of 1868428080 is about 1231.6636619121.

It can be divided in two parts, 18684 and 28080, that added together give a palindrome (46764).

The spelling of 1868428080 in words is "one billion, eight hundred sixty-eight million, four hundred twenty-eight thousand, eighty".