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10012320 = 2532517409
BaseRepresentation
bin100110001100…
…011010100000
3200211200022200
4212030122200
510030343240
6554333200
7151050303
oct46143240
920750280
1010012320
11571944a
12342a200
1320c7366
141488b3a
15d2b930
hex98c6a0

10012320 has 144 divisors (see below), whose sum is σ = 36265320. Its totient is φ = 2506752.

The previous prime is 10012313. The next prime is 10012333. The reversal of 10012320 is 2321001.

Adding to 10012320 its reverse (2321001), we get a palindrome (12333321).

It can be divided in two parts, 1001 and 2320, that added together give a triangular number (3321 = T81).

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 51984 = 3156^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24276 + ... + 24684.

Almost surely, 210012320 is an apocalyptic number.

10012320 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 10012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18132660).

10012320 is an abundant number, since it is smaller than the sum of its proper divisors (26253000).

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

10012320 is a wasteful number, since it uses less digits than its factorization.

10012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10012320 is about 3164.2250236037. The cubic root of 10012320 is about 215.5319081454.

The spelling of 10012320 in words is "ten million, twelve thousand, three hundred twenty".