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103430528 = 271971599
BaseRepresentation
bin1100010101000…
…11100110000000
321012121211000022
412022203212000
5202434234103
614132513012
72364100505
oct612434600
9235554008
10103430528
1153424983
122a77b768
13185750c6
14da454ac
159131138
hex62a3980

103430528 has 64 divisors (see below), whose sum is σ = 220320000. Its totient is φ = 48222720.

The previous prime is 103430527. The next prime is 103430531. The reversal of 103430528 is 825034301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 103430497 and 103430506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103430527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172373 + ... + 172971.

It is an arithmetic number, because the mean of its divisors is an integer number (3442500).

Almost surely, 2103430528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103430528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160000).

103430528 is an abundant number, since it is smaller than the sum of its proper divisors (116889472).

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

103430528 is an equidigital number, since it uses as much as digits as its factorization.

103430528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 103430528 is about 10170.0800390164. The cubic root of 103430528 is about 469.4070203977.

Adding to 103430528 its reverse (825034301), we get a palindrome (928464829).

The spelling of 103430528 in words is "one hundred three million, four hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 284 304 568 599 608 1136 1198 1216 1349 2272 2396 2432 2698 4544 4792 5396 9088 9584 10792 11381 19168 21584 22762 38336 42529 43168 45524 76672 85058 86336 91048 170116 172672 182096 340232 364192 680464 728384 808051 1360928 1456768 1616102 2721856 3232204 5443712 6464408 12928816 25857632 51715264 103430528