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10328560 = 24511397
BaseRepresentation
bin100111011001…
…100111110000
3201102202010021
4213121213300
510121003220
61005213224
7153535264
oct47314760
921382107
1010328560
115915000
123561214
1321a8298
14152c0a4
15d904aa
hex9d99f0

10328560 has 80 divisors (see below), whose sum is σ = 26685792. Its totient is φ = 3717120.

The previous prime is 10328491. The next prime is 10328561. The reversal of 10328560 is 6582301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328561) 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, 106432 + ... + 106528.

Almost surely, 210328560 is an apocalyptic number.

10328560 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 10328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342896).

10328560 is an abundant number, since it is smaller than the sum of its proper divisors (16357232).

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

10328560 is an equidigital number, since it uses as much as digits as its factorization.

10328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 10328560 is about 3213.8077104892. The cubic root of 10328560 is about 217.7776258348. Note that the first 3 decimals are identical.

The spelling of 10328560 in words is "ten million, three hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 97 110 121 176 194 220 242 388 440 484 485 605 776 880 968 970 1067 1210 1331 1552 1936 1940 2134 2420 2662 3880 4268 4840 5324 5335 6655 7760 8536 9680 10648 10670 11737 13310 17072 21296 21340 23474 26620 42680 46948 53240 58685 85360 93896 106480 117370 129107 187792 234740 258214 469480 516428 645535 938960 1032856 1291070 2065712 2582140 5164280 10328560