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10419216 = 2431311657
BaseRepresentation
bin100111101111…
…110000010000
3201121100110220
4213233300100
510131403331
61011153040
7154363503
oct47576020
921540426
1010419216
115977125
1235a5780
13220a622
14155313a
15dac296
hex9efc10

10419216 has 40 divisors (see below), whose sum is σ = 27138144. Its totient is φ = 3444480.

The previous prime is 10419209. The next prime is 10419221. The reversal of 10419216 is 61291401.

10419216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×104192163 (a number of 22 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5460 + ... + 7116.

Almost surely, 210419216 is an apocalyptic number.

10419216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10419216 is an abundant number, since it is smaller than the sum of its proper divisors (16718928).

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

10419216 is a wasteful number, since it uses less digits than its factorization.

10419216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10419216 is about 3227.8810387002. The cubic root of 10419216 is about 218.4129311132.

It can be divided in two parts, 1041921 and 6, that multiplied together give a palindrome (6251526).

The spelling of 10419216 in words is "ten million, four hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 1657 2096 3144 3314 4971 6288 6628 9942 13256 19884 26512 39768 79536 217067 434134 651201 868268 1302402 1736536 2604804 3473072 5209608 10419216