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102002340 = 223511374177
BaseRepresentation
bin1100001010001…
…10111010100100
321002221020220110
412011012322210
5202103033330
614042133020
72346001626
oct605067244
9232836813
10102002340
1152639960
122a1b1170
131819501b
14d792c16
158e4cdb0
hex6146ea4

102002340 has 96 divisors (see below), whose sum is σ = 320068224. Its totient is φ = 24053760.

The previous prime is 102002333. The next prime is 102002359. The reversal of 102002340 is 43200201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 22332 + ... + 26508.

It is an arithmetic number, because the mean of its divisors is an integer number (3334044).

Almost surely, 2102002340 is an apocalyptic number.

102002340 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 102002340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160034112).

102002340 is an abundant number, since it is smaller than the sum of its proper divisors (218065884).

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

102002340 is a wasteful number, since it uses less digits than its factorization.

102002340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102002340 is about 10099.6207849602. The cubic root of 102002340 is about 467.2364457655.

Adding to 102002340 its reverse (43200201), we get a palindrome (145202541).

The spelling of 102002340 in words is "one hundred two million, two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4177 4884 6105 8140 8354 12210 12531 16708 20885 24420 25062 41770 45947 50124 62655 83540 91894 125310 137841 154549 183788 229735 250620 275682 309098 459470 463647 551364 618196 689205 772745 918940 927294 1378410 1545490 1700039 1854588 2318235 2756820 3090980 3400078 4636470 5100117 6800156 8500195 9272940 10200234 17000390 20400468 25500585 34000780 51001170 102002340