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675429040 = 24511131723151
BaseRepresentation
bin101000010000100…
…011101010110000
31202001221100110101
4220100203222300
52340402212130
6151004442144
722511023606
oct5020435260
91661840411
10675429040
11317297920
1216a249354
13a9c18570
14659bd876
153e46c1ca
hex28423ab0

675429040 has 320 divisors, whose sum is σ = 2051868672. Its totient is φ = 202752000.

The previous prime is 675429031. The next prime is 675429049. The reversal of 675429040 is 40924576.

It is an interprime number because it is at equal distance from previous prime (675429031) and next prime (675429049).

It is not an unprimeable number, because it can be changed into a prime (675429049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4472965 + ... + 4473115.

Almost surely, 2675429040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025934336).

675429040 is an abundant number, since it is smaller than the sum of its proper divisors (1376439632).

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

675429040 is a wasteful number, since it uses less digits than its factorization.

675429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 675429040 is about 25989.0176805511. The cubic root of 675429040 is about 877.3911369997.

The spelling of 675429040 in words is "six hundred seventy-five million, four hundred twenty-nine thousand, forty".