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10470000 = 24354349
BaseRepresentation
bin100111111100…
…001001110000
3201200221010210
4213330021300
510140020000
61012224120
7154664532
oct47741160
921627123
1010470000
115a012a2
12360b040
132227788
141567852
15dbc350
hex9fc270

10470000 has 100 divisors (see below), whose sum is σ = 33895400. Its totient is φ = 2784000.

The previous prime is 10469999. The next prime is 10470017. The reversal of 10470000 is 7401.

10470000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29826 + ... + 30174.

It is an arithmetic number, because the mean of its divisors is an integer number (338954).

Almost surely, 210470000 is an apocalyptic number.

10470000 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 10470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16947700).

10470000 is an abundant number, since it is smaller than the sum of its proper divisors (23425400).

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

10470000 is an equidigital number, since it uses as much as digits as its factorization.

10470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 10470000 is about 3235.7379374727. The cubic root of 10470000 is about 218.7672095304.

Adding to 10470000 its reverse (7401), we get a palindrome (10477401).

The spelling of 10470000 in words is "ten million, four hundred seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 349 375 400 500 600 625 698 750 1000 1047 1200 1250 1396 1500 1745 1875 2000 2094 2500 2792 3000 3490 3750 4188 5000 5235 5584 6000 6980 7500 8376 8725 10000 10470 13960 15000 16752 17450 20940 26175 27920 30000 34900 41880 43625 52350 69800 83760 87250 104700 130875 139600 174500 209400 218125 261750 349000 418800 436250 523500 654375 698000 872500 1047000 1308750 1745000 2094000 2617500 3490000 5235000 10470000