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10305480 = 2335157547
BaseRepresentation
bin100111010011…
…111111001000
3201101120110110
4213103333020
510114233410
61004514320
7153411063
oct47237710
921346413
1010305480
1158a9729
12354b9a0
13219a923
1415238da
15d88720
hex9d3fc8

10305480 has 64 divisors (see below), whose sum is σ = 31170240. Its totient is φ = 2725632.

The previous prime is 10305461. The next prime is 10305481. The reversal of 10305480 is 8450301.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10305481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18567 + ... + 19113.

It is an arithmetic number, because the mean of its divisors is an integer number (487035).

Almost surely, 210305480 is an apocalyptic number.

10305480 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 10305480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585120).

10305480 is an abundant number, since it is smaller than the sum of its proper divisors (20864760).

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

10305480 is a wasteful number, since it uses less digits than its factorization.

10305480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10305480 is about 3210.2149460745. The cubic root of 10305480 is about 217.6152909706.

Adding to 10305480 its reverse (8450301), we get a palindrome (18755781).

The spelling of 10305480 in words is "ten million, three hundred five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 547 628 785 942 1094 1256 1570 1641 1884 2188 2355 2735 3140 3282 3768 4376 4710 5470 6280 6564 8205 9420 10940 13128 16410 18840 21880 32820 65640 85879 171758 257637 343516 429395 515274 687032 858790 1030548 1288185 1717580 2061096 2576370 3435160 5152740 10305480