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4101216 = 253717359
BaseRepresentation
bin1111101001010001100000
321201100210220
433221101200
52022214331
6223523040
746600620
oct17512140
97640726
104101216
112351339
121459480
13b07972
1478a880
15560296
hex3e9460

4101216 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 1099776.

The previous prime is 4101197. The next prime is 4101241. The reversal of 4101216 is 6121014.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 4101195 and 4101204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11245 + ... + 11603.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 24101216 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 4101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

4101216 is an abundant number, since it is smaller than the sum of its proper divisors (8962464).

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

4101216 is a wasteful number, since it uses less digits than its factorization.

4101216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4101216 is about 2025.1459206684. The cubic root of 4101216 is about 160.0678878578.

The spelling of 4101216 in words is "four million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 359 408 476 544 672 714 718 816 952 1077 1428 1436 1632 1904 2154 2513 2856 2872 3808 4308 5026 5712 5744 6103 7539 8616 10052 11424 11488 12206 15078 17232 18309 20104 24412 30156 34464 36618 40208 42721 48824 60312 73236 80416 85442 97648 120624 128163 146472 170884 195296 241248 256326 292944 341768 512652 585888 683536 1025304 1367072 2050608 4101216