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613608060 = 2235132573061
BaseRepresentation
bin100100100100101…
…110101001111100
31120202121112000110
4210210232221330
52224040424220
6140515430020
721130403532
oct4444565174
91522545013
10613608060
112954028aa
121515b5310
139a1817c0
145b6ca152
1538d09be0
hex2492ea7c

613608060 has 96 divisors (see below), whose sum is σ = 1858070592. Its totient is φ = 150405120.

The previous prime is 613608031. The next prime is 613608103. The reversal of 613608060 is 60806316.

613608060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198930 + ... + 201990.

It is an arithmetic number, because the mean of its divisors is an integer number (19354902).

Almost surely, 2613608060 is an apocalyptic number.

613608060 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 613608060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929035296).

613608060 is an abundant number, since it is smaller than the sum of its proper divisors (1244462532).

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

613608060 is a wasteful number, since it uses less digits than its factorization.

613608060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 613608060 is about 24771.1134186576. The cubic root of 613608060 is about 849.7614370876.

The spelling of 613608060 in words is "six hundred thirteen million, six hundred eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 257 260 390 514 771 780 1028 1285 1542 2570 3061 3084 3341 3855 5140 6122 6682 7710 9183 10023 12244 13364 15305 15420 16705 18366 20046 30610 33410 36732 39793 40092 45915 50115 61220 66820 79586 91830 100230 119379 159172 183660 198965 200460 238758 397930 477516 596895 786677 795860 1193790 1573354 2360031 2387580 3146708 3933385 4720062 7866770 9440124 10226801 11800155 15733540 20453602 23600310 30680403 40907204 47200620 51134005 61360806 102268010 122721612 153402015 204536020 306804030 613608060