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10451216 = 2419311109
BaseRepresentation
bin100111110111…
…100100010000
3201122222101002
4213313210100
510133414331
61012001132
7154556006
oct47674420
921588332
1010451216
115999176
1236001a8
13221c069
141560a76
15db69cb
hex9f7910

10451216 has 40 divisors (see below), whose sum is σ = 22022400. Its totient is φ = 4786560.

The previous prime is 10451213. The next prime is 10451219. The reversal of 10451216 is 61215401.

10451216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10451213) and next prime (10451219).

It is not an unprimeable number, because it can be changed into a prime (10451213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8870 + ... + 9978.

It is an arithmetic number, because the mean of its divisors is an integer number (550560).

Almost surely, 210451216 is an apocalyptic number.

10451216 is a gapful number since it is divisible by the number (16) 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 10451216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11011200).

10451216 is an abundant number, since it is smaller than the sum of its proper divisors (11571184).

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

10451216 is a wasteful number, since it uses less digits than its factorization.

10451216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10451216 is about 3232.8340507982. The cubic root of 10451216 is about 218.6363027110.

Adding to 10451216 its reverse (61215401), we get a palindrome (71666617).

It can be divided in two parts, 1045121 and 6, that multiplied together give a palindrome (6270726).

The spelling of 10451216 in words is "ten million, four hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1109 1178 2218 2356 4436 4712 8872 9424 17744 21071 34379 42142 68758 84284 137516 168568 275032 337136 550064 653201 1306402 2612804 5225608 10451216