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613672020 = 2232513262253
BaseRepresentation
bin100100100100111…
…110010001010100
31120202201202202100
4210210332101110
52224100001040
6140521042100
721131061153
oct4444762124
91522652670
10613672020
11295446965
12151626330
139a1a4950
145b70559a
1538d1db30
hex2493e454

613672020 has 72 divisors (see below), whose sum is σ = 2004669576. Its totient is φ = 151057152.

The previous prime is 613672019. The next prime is 613672057. The reversal of 613672020 is 20276316.

It is a happy number.

613672020 is a `hidden beast` number, since 613 + 6 + 7 + 20 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18507204 + 595164816 = 4302^2 + 24396^2 .

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 23 ways as a sum of consecutive naturals, for example, 128787 + ... + 133466.

It is an arithmetic number, because the mean of its divisors is an integer number (27842633).

Almost surely, 2613672020 is an apocalyptic number.

613672020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

613672020 is an abundant number, since it is smaller than the sum of its proper divisors (1390997556).

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

613672020 is a wasteful number, since it uses less digits than its factorization.

613672020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262281 (or 262276 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 613672020 is about 24772.4044049018. The cubic root of 613672020 is about 849.7909612832.

The spelling of 613672020 in words is "six hundred thirteen million, six hundred seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 262253 524506 786759 1049012 1311265 1573518 2360277 2622530 3147036 3409289 3933795 4720554 5245060 6818578 7867590 9441108 10227867 11801385 13637156 15735180 17046445 20455734 23602770 30683601 34092890 40911468 47205540 51139335 61367202 68185780 102278670 122734404 153418005 204557340 306836010 613672020