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675432000 = 2633535359
BaseRepresentation
bin101000010000100…
…100011001000000
31202001221111112000
4220100210121000
52340402311000
6151004504000
722511035335
oct5020443100
91661844460
10675432000
1131729a071
1216a24b000
13a9c19a09
14659c098c
153e46d000
hex28424640

675432000 has 448 divisors, whose sum is σ = 2567635200. Its totient is φ = 173721600.

The previous prime is 675431987. The next prime is 675432013. The reversal of 675432000 is 234576.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (675431987) and next prime (675432013).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11447971 + ... + 11448029.

Almost surely, 2675432000 is an apocalyptic number.

675432000 is a gapful number since it is divisible by the number (60) 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 675432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283817600).

675432000 is an abundant number, since it is smaller than the sum of its proper divisors (1892203200).

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

675432000 is a wasteful number, since it uses less digits than its factorization.

675432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 675432000 is about 25989.0746276200. The cubic root of 675432000 is about 877.3924186907.

Adding to 675432000 its reverse (234576), we get a palindrome (675666576).

The spelling of 675432000 in words is "six hundred seventy-five million, four hundred thirty-two thousand".