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613003680 = 25335172491
BaseRepresentation
bin100100100010011…
…011000110100000
31120201110210222000
4210202123012200
52223412104210
6140454444000
721122305512
oct4442330640
91521423860
10613003680
1129502a813
12151363600
1399ccc693
145b5adbb2
1538c3aac0
hex2489b1a0

613003680 has 288 divisors, whose sum is σ = 2283785280. Its totient is φ = 153538560.

The previous prime is 613003673. The next prime is 613003681. The reversal of 613003680 is 86300316.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (613003681) 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 47 ways as a sum of consecutive naturals, for example, 1248235 + ... + 1248725.

It is an arithmetic number, because the mean of its divisors is an integer number (7929810).

Almost surely, 2613003680 is an apocalyptic number.

613003680 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 613003680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141892640).

613003680 is an abundant number, since it is smaller than the sum of its proper divisors (1670781600).

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

613003680 is a wasteful number, since it uses less digits than its factorization.

613003680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 613003680 is about 24758.9111230684. The cubic root of 613003680 is about 849.4823514836.

Adding to 613003680 its reverse (86300316), we get a palindrome (699303996).

It can be divided in two parts, 61300 and 3680, that added together give a triangular number (64980 = T360).

The spelling of 613003680 in words is "six hundred thirteen million, three thousand, six hundred eighty".