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102603432 = 233171931303
BaseRepresentation
bin1100001110110…
…01101010101000
321011001210110010
412013121222220
5202231302212
614103051520
72354054241
oct607315250
9234053403
10102603432
1152a0a528
122a440ba0
13183457b9
14d8abcc8
15901b03c
hex61d9aa8

102603432 has 64 divisors (see below), whose sum is σ = 273214080. Its totient is φ = 31997952.

The previous prime is 102603377. The next prime is 102603433. The reversal of 102603432 is 234306201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102603399 and 102603408.

It is not an unprimeable number, because it can be changed into a prime (102603433) 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 15 ways as a sum of consecutive naturals, for example, 78093 + ... + 79395.

It is an arithmetic number, because the mean of its divisors is an integer number (4268970).

Almost surely, 2102603432 is an apocalyptic number.

102603432 is a gapful number since it is divisible by the number (12) 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 102603432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136607040).

102603432 is an abundant number, since it is smaller than the sum of its proper divisors (170610648).

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

102603432 is a wasteful number, since it uses less digits than its factorization.

102603432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 102603432 is about 10129.3352200428. The cubic root of 102603432 is about 468.1524450414.

Adding to 102603432 its reverse (234306201), we get a palindrome (336909633).

The spelling of 102603432 in words is "one hundred two million, six hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 193 204 386 408 579 772 1158 1303 1544 2316 2606 3281 3909 4632 5212 6562 7818 9843 10424 13124 15636 19686 22151 26248 31272 39372 44302 66453 78744 88604 132906 177208 251479 265812 502958 531624 754437 1005916 1508874 2011832 3017748 4275143 6035496 8550286 12825429 17100572 25650858 34201144 51301716 102603432