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102603420 = 223251921579
BaseRepresentation
bin1100001110110…
…01101010011100
321011001210102200
412013121222130
5202231302140
614103051500
72354054223
oct607315234
9234053380
10102603420
1152a0a517
122a440b90
13183457aa
14d8abcba
15901b030
hex61d9a9c

102603420 has 108 divisors (see below), whose sum is σ = 328681080. Its totient is φ = 25904448.

The previous prime is 102603377. The next prime is 102603433. The reversal of 102603420 is 24306201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102603393 and 102603402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64191 + ... + 65769.

Almost surely, 2102603420 is an apocalyptic number.

102603420 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 102603420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164340540).

102603420 is an abundant number, since it is smaller than the sum of its proper divisors (226077660).

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

102603420 is a wasteful number, since it uses less digits than its factorization.

102603420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102603420 is about 10129.3346277038. The cubic root of 102603420 is about 468.1524267904.

Adding to 102603420 its reverse (24306201), we get a palindrome (126909621).

The spelling of 102603420 in words is "one hundred two million, six hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 855 1083 1140 1444 1579 1710 1805 2166 3158 3249 3420 3610 4332 4737 5415 6316 6498 7220 7895 9474 10830 12996 14211 15790 16245 18948 21660 23685 28422 30001 31580 32490 47370 56844 60002 64980 71055 90003 94740 120004 142110 150005 180006 270009 284220 300010 360012 450015 540018 570019 600020 900030 1080036 1140038 1350045 1710057 1800060 2280076 2700090 2850095 3420114 5130171 5400180 5700190 6840228 8550285 10260342 11400380 17100570 20520684 25650855 34201140 51301710 102603420