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12415216 = 2411233067
BaseRepresentation
bin101111010111…
…000011110000
3212100202110211
4233113003300
511134241331
61122033504
7210345652
oct57270360
925322424
1012415216
11700a810
1241a8894
132758ca8
1419126d2
1511538b1
hexbd70f0

12415216 has 40 divisors (see below), whose sum is σ = 27391104. Its totient is φ = 5396160.

The previous prime is 12415211. The next prime is 12415217. The reversal of 12415216 is 61251421.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12415211) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2515 + ... + 5581.

Almost surely, 212415216 is an apocalyptic number.

12415216 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 12415216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13695552).

12415216 is an abundant number, since it is smaller than the sum of its proper divisors (14975888).

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

12415216 is a wasteful number, since it uses less digits than its factorization.

12415216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3103 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 12415216 is about 3523.5232367618. The cubic root of 12415216 is about 231.5535409129.

Adding to 12415216 its reverse (61251421), we get a palindrome (73666637).

The spelling of 12415216 in words is "twelve million, four hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 3067 4048 6134 12268 24536 33737 49072 67474 70541 134948 141082 269896 282164 539792 564328 775951 1128656 1551902 3103804 6207608 12415216