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10480416 = 253109171
BaseRepresentation
bin100111111110…
…101100100000
3201201110102120
4213332230200
510140333131
61012344240
7155040102
oct47765440
921643376
1010480416
115a09101
123615080
13222c43b
14156b572
15dc0496
hex9feb20

10480416 has 24 divisors (see below), whose sum is σ = 27511344. Its totient is φ = 3493440.

The previous prime is 10480399. The next prime is 10480423. The reversal of 10480416 is 61408401.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 54490 + ... + 54681.

It is an arithmetic number, because the mean of its divisors is an integer number (1146306).

Almost surely, 210480416 is an apocalyptic number.

10480416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10480416 is an abundant number, since it is smaller than the sum of its proper divisors (17030928).

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

10480416 is a wasteful number, since it uses less digits than its factorization.

10480416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109184 (or 109176 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10480416 is about 3237.3470620247. The cubic root of 10480416 is about 218.8397317854.

Adding to 10480416 its reverse (61408401), we get a palindrome (71888817).

The spelling of 10480416 in words is "ten million, four hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109171 218342 327513 436684 655026 873368 1310052 1746736 2620104 3493472 5240208 10480416