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102308700 = 223521337709
BaseRepresentation
bin1100001100100…
…01101101011100
321010111211011010
412012101231130
5202142334300
614052455220
72351416044
oct606215534
9233454133
10102308700
115282904a
122a31a510
13182715c0
14d832724
158eada50
hex6191b5c

102308700 has 144 divisors (see below), whose sum is σ = 327860960. Its totient is φ = 24468480.

The previous prime is 102308699. The next prime is 102308719. The reversal of 102308700 is 7803201.

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 47 ways as a sum of consecutive naturals, for example, 143946 + ... + 144654.

Almost surely, 2102308700 is an apocalyptic number.

102308700 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 102308700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163930480).

102308700 is an abundant number, since it is smaller than the sum of its proper divisors (225552260).

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

102308700 is a wasteful number, since it uses less digits than its factorization.

102308700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 102308700 is about 10114.7763198204. The cubic root of 102308700 is about 467.7037536347.

The spelling of 102308700 in words is "one hundred two million, three hundred eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 709 740 780 925 962 975 1110 1300 1418 1443 1850 1924 1950 2127 2220 2405 2775 2836 2886 3545 3700 3900 4254 4810 5550 5772 7090 7215 8508 9217 9620 10635 11100 12025 14180 14430 17725 18434 21270 24050 26233 27651 28860 35450 36075 36868 42540 46085 48100 52466 53175 55302 70900 72150 78699 92170 104932 106350 110604 131165 138255 144300 157398 184340 212700 230425 262330 276510 314796 341029 393495 460850 524660 553020 655825 682058 691275 786990 921700 1023087 1311650 1364116 1382550 1573980 1705145 1967475 2046174 2623300 2765100 3410290 3934950 4092348 5115435 6820580 7869900 8525725 10230870 17051450 20461740 25577175 34102900 51154350 102308700