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675152640 = 28325103569
BaseRepresentation
bin101000001111100…
…000001100000000
31202001102022022100
4220033200030000
52340314341030
6150554510400
722505463021
oct5017401400
91661368270
10675152640
11317119198
1216a135400
13a9b4c806
146594ac48
153e415360
hex283e0300

675152640 has 216 divisors, whose sum is σ = 2362782240. Its totient is φ = 177979392.

The previous prime is 675152551. The next prime is 675152657. The reversal of 675152640 is 46251576.

It is a happy number.

675152640 is a `hidden beast` number, since 6 + 7 + 5 + 1 + 5 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 675152595 and 675152604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1186276 + ... + 1186844.

Almost surely, 2675152640 is an apocalyptic number.

675152640 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 675152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181391120).

675152640 is an abundant number, since it is smaller than the sum of its proper divisors (1687629600).

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

675152640 is a wasteful number, since it uses less digits than its factorization.

675152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 675152640 is about 25983.6995056516. The cubic root of 675152640 is about 877.2714382682.

The spelling of 675152640 in words is "six hundred seventy-five million, one hundred fifty-two thousand, six hundred forty".