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613087380 = 22345378449
BaseRepresentation
bin100100100010101…
…111100010010100
31120201122001210000
4210202233202110
52223422244010
6140500331300
721123104523
oct4442574224
91521561700
10613087380
11295087694
121513a3b30
139a02b7c9
145b5d24ba
1538c557c0
hex248af894

613087380 has 60 divisors (see below), whose sum is σ = 1923282900. Its totient is φ = 163489536.

The previous prime is 613087369. The next prime is 613087417. The reversal of 613087380 is 83780316.

613087380 is a `hidden beast` number, since 613 + 0 + 8 + 7 + 38 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 402082704 + 211004676 = 20052^2 + 14526^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×6130873802 = 751752271030528800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 187605 + ... + 190844.

It is an arithmetic number, because the mean of its divisors is an integer number (32054715).

Almost surely, 2613087380 is an apocalyptic number.

613087380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

613087380 is an abundant number, since it is smaller than the sum of its proper divisors (1310195520).

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

613087380 is a wasteful number, since it uses less digits than its factorization.

613087380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378470 (or 378459 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 613087380 is about 24760.6013658796. The cubic root of 613087380 is about 849.5210127181.

The spelling of 613087380 in words is "six hundred thirteen million, eighty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 378449 756898 1135347 1513796 1892245 2270694 3406041 3784490 4541388 5676735 6812082 7568980 10218123 11353470 13624164 17030205 20436246 22706940 30654369 34060410 40872492 51090615 61308738 68120820 102181230 122617476 153271845 204362460 306543690 613087380