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1308220620 = 2235724110853
BaseRepresentation
bin100110111111001…
…1101110011001100
310101011122111022120
41031332131303030
510134401024440
6333451412540
744263456200
oct11576356314
93334574276
101308220620
11611502573
12306154150
1317b055955
14c5a60b00
1579cb5dd0
hex4df9dccc

1308220620 has 144 divisors (see below), whose sum is σ = 4365391968. Its totient is φ = 291701760.

The previous prime is 1308220619. The next prime is 1308220621. The reversal of 1308220620 is 260228031.

It is an interprime number because it is at equal distance from previous prime (1308220619) and next prime (1308220621).

It is a super-2 number, since 2×13082206202 = 3422882381186368800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1308220621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115114 + ... + 125966.

It is an arithmetic number, because the mean of its divisors is an integer number (30315222).

Almost surely, 21308220620 is an apocalyptic number.

1308220620 is a gapful number since it is divisible by the number (10) 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 1308220620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182695984).

1308220620 is an abundant number, since it is smaller than the sum of its proper divisors (3057171348).

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

1308220620 is a wasteful number, since it uses less digits than its factorization.

1308220620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920 (or 10911 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1308220620 is about 36169.3325899166. The cubic root of 1308220620 is about 1093.6885448137.

Adding to 1308220620 its reverse (260228031), we get a palindrome (1568448651).

The spelling of 1308220620 in words is "one billion, three hundred eight million, two hundred twenty thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 49 60 70 82 84 98 105 123 140 147 164 196 205 210 245 246 287 294 410 420 490 492 574 588 615 735 820 861 980 1148 1230 1435 1470 1722 2009 2460 2870 2940 3444 4018 4305 5740 6027 8036 8610 10045 10853 12054 17220 20090 21706 24108 30135 32559 40180 43412 54265 60270 65118 75971 108530 120540 130236 151942 162795 217060 227913 303884 325590 379855 444973 455826 531797 651180 759710 889946 911652 1063594 1139565 1334919 1519420 1595391 1779892 2127188 2224865 2279130 2658985 2669838 3114811 3190782 4449730 4558260 5317970 5339676 6229622 6381564 6674595 7976955 8899460 9344433 10635940 12459244 13349190 15574055 15953910 18688866 21803677 26698380 31148110 31907820 37377732 43607354 46722165 62296220 65411031 87214708 93444330 109018385 130822062 186888660 218036770 261644124 327055155 436073540 654110310 1308220620