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675080640 = 263251321973
BaseRepresentation
bin101000001111001…
…110100111000000
31202001021122112200
4220033032213000
52340310040030
6150553153200
722505043063
oct5017164700
91661248480
10675080640
1131707a093
1216a0bb800
13a9b25b00
146592c8da
153e3edd60
hex283ce9c0

675080640 has 504 divisors, whose sum is σ = 2682941040. Its totient is φ = 155271168.

The previous prime is 675080639. The next prime is 675080641. The reversal of 675080640 is 46080576.

It is a happy number.

675080640 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 8 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (675080639) and next prime (675080641).

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 = 675080595 and 675080604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675080641) 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 71 ways as a sum of consecutive naturals, for example, 9247644 + ... + 9247716.

Almost surely, 2675080640 is an apocalyptic number.

675080640 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 675080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341470520).

675080640 is an abundant number, since it is smaller than the sum of its proper divisors (2007860400).

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

675080640 is a wasteful number, since it uses less digits than its factorization.

675080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 675080640 is about 25982.3139847089. The cubic root of 675080640 is about 877.2402523381.

The spelling of 675080640 in words is "six hundred seventy-five million, eighty thousand, six hundred forty".