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10430080 = 27543379
BaseRepresentation
bin100111110010…
…011010000000
3201121220101021
4213302122000
510132230310
61011315224
7154440253
oct47623200
921556337
1010430080
115984301
1235abb14
13221255b
14155709a
15db05da
hex9f2680

10430080 has 64 divisors (see below), whose sum is σ = 25581600. Its totient is φ = 4064256.

The previous prime is 10430059. The next prime is 10430083. The reversal of 10430080 is 8003401.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10430083) 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, 27331 + ... + 27709.

Almost surely, 210430080 is an apocalyptic number.

10430080 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 10430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790800).

10430080 is an abundant number, since it is smaller than the sum of its proper divisors (15151520).

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

10430080 is an equidigital number, since it uses as much as digits as its factorization.

10430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10430080 is about 3229.5634379897. The cubic root of 10430080 is about 218.4888169844.

Adding to 10430080 its reverse (8003401), we get a palindrome (18433481).

The spelling of 10430080 in words is "ten million, four hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 379 430 640 688 758 860 1376 1516 1720 1895 2752 3032 3440 3790 5504 6064 6880 7580 12128 13760 15160 16297 24256 27520 30320 32594 48512 60640 65188 81485 121280 130376 162970 242560 260752 325940 521504 651880 1043008 1303760 2086016 2607520 5215040 10430080