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102000060 = 2234579797
BaseRepresentation
bin1100001010001…
…10010110111100
321002221010210000
412011012112330
5202103000220
614042114300
72345662161
oct605062674
9232833700
10102000060
1152638178
122a1ab990
1318193c86
14d792068
158e4c390
hex61465bc

102000060 has 120 divisors (see below), whose sum is σ = 324434880. Its totient is φ = 26822016.

The previous prime is 102000043. The next prime is 102000061. The reversal of 102000060 is 60000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000061) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 127582 + ... + 128378.

It is an arithmetic number, because the mean of its divisors is an integer number (2703624).

Almost surely, 2102000060 is an apocalyptic number.

102000060 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 102000060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162217440).

102000060 is an abundant number, since it is smaller than the sum of its proper divisors (222434820).

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

102000060 is a wasteful number, since it uses less digits than its factorization.

102000060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 102000060 is about 10099.5079088043. The cubic root of 102000060 is about 467.2329644498.

Adding to 102000060 its reverse (60000201), we get a palindrome (162000261).

The spelling of 102000060 in words is "one hundred two million, sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 270 316 324 395 405 474 540 711 790 797 810 948 1185 1422 1580 1594 1620 2133 2370 2391 2844 3188 3555 3985 4266 4740 4782 6399 7110 7173 7970 8532 9564 10665 11955 12798 14220 14346 15940 21330 21519 23910 25596 28692 31995 35865 42660 43038 47820 62963 63990 64557 71730 86076 107595 125926 127980 129114 143460 188889 215190 251852 258228 314815 322785 377778 430380 566667 629630 645570 755556 944445 1133334 1259260 1291140 1700001 1888890 2266668 2833335 3400002 3777780 5100003 5666670 6800004 8500005 10200006 11333340 17000010 20400012 25500015 34000020 51000030 102000060