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12103416 = 23321367193
BaseRepresentation
bin101110001010…
…111011111000
3211202220202200
4232022323320
511044302131
61111230200
7204606633
oct56127370
924686680
1012103416
116917526
124078360
13267a0b0
141870c1a
1510e12e6
hexb8aef8

12103416 has 96 divisors (see below), whose sum is σ = 36014160. Its totient is φ = 3649536.

The previous prime is 12103409. The next prime is 12103417. The reversal of 12103416 is 61430121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62616 + ... + 62808.

Almost surely, 212103416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007080).

12103416 is an abundant number, since it is smaller than the sum of its proper divisors (23910744).

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

12103416 is a wasteful number, since it uses less digits than its factorization.

12103416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12103416 is about 3478.9964070117. The cubic root of 12103416 is about 229.5986447087.

Adding to 12103416 its reverse (61430121), we get a palindrome (73533537).

The spelling of 12103416 in words is "twelve million, one hundred three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 193 201 234 268 312 386 402 468 536 579 603 772 804 871 936 1158 1206 1544 1608 1737 1742 2316 2412 2509 2613 3474 3484 4632 4824 5018 5226 6948 6968 7527 7839 10036 10452 12931 13896 15054 15678 20072 20904 22581 25862 30108 31356 38793 45162 51724 60216 62712 77586 90324 103448 116379 155172 168103 180648 232758 310344 336206 465516 504309 672412 931032 1008618 1344824 1512927 2017236 3025854 4034472 6051708 12103416