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102340420 = 225721329277
BaseRepresentation
bin1100001100110…
…01011101000100
321010120102122221
412012121131010
5202144343140
614053302124
72351610400
oct606313504
9233512587
10102340420
115284a966
122a334944
1318282b80
14d840100
158eb814a
hex6199744

102340420 has 144 divisors (see below), whose sum is σ = 279523440. Its totient is φ = 31159296.

The previous prime is 102340417. The next prime is 102340421. The reversal of 102340420 is 24043201.

It can be written as a sum of positive squares in 8 ways, for example, as 17994564 + 84345856 = 4242^2 + 9184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102340394 and 102340403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102340421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369322 + ... + 369598.

It is an arithmetic number, because the mean of its divisors is an integer number (1941135).

Almost surely, 2102340420 is an apocalyptic number.

102340420 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 102340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139761720).

102340420 is an abundant number, since it is smaller than the sum of its proper divisors (177183020).

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

102340420 is a wasteful number, since it uses less digits than its factorization.

102340420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 102340420 is about 10116.3442013407. The cubic root of 102340420 is about 467.7520845851.

Adding to 102340420 its reverse (24043201), we get a palindrome (126383621).

The spelling of 102340420 in words is "one hundred two million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 49 52 58 65 70 91 98 116 130 140 145 182 196 203 245 260 277 290 364 377 406 455 490 554 580 637 754 812 910 980 1015 1108 1274 1385 1421 1508 1820 1885 1939 2030 2548 2639 2770 2842 3185 3601 3770 3878 4060 5278 5540 5684 6370 7105 7202 7540 7756 8033 9695 10556 12740 13195 13573 14210 14404 16066 18005 18473 19390 25207 26390 27146 28420 32132 36010 36946 38780 40165 50414 52780 54292 56231 67865 72020 73892 80330 92365 100828 104429 112462 126035 135730 160660 176449 184730 208858 224924 252070 271460 281155 352898 369460 393617 417716 504140 522145 562310 705796 731003 787234 882245 1044290 1124620 1462006 1574468 1764490 1968085 2088580 2924012 3528980 3655015 3936170 5117021 7310030 7872340 10234042 14620060 20468084 25585105 51170210 102340420