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4216104 = 2333131149
BaseRepresentation
bin10000000101010100101000
321221012102000
4100011110220
52034403404
6230211000
750556564
oct20052450
97835360
104216104
11241a692
1214b3a60
13b48049
147ba6a4
15584339
hex405528

4216104 has 64 divisors (see below), whose sum is σ = 11880000. Its totient is φ = 1385280.

The previous prime is 4216073. The next prime is 4216117. The reversal of 4216104 is 4016124.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28222 + ... + 28370.

It is an arithmetic number, because the mean of its divisors is an integer number (185625).

Almost surely, 24216104 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 4216104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940000).

4216104 is an abundant number, since it is smaller than the sum of its proper divisors (7663896).

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

4216104 is a wasteful number, since it uses less digits than its factorization.

4216104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4216104 is about 2053.3153678868. The cubic root of 4216104 is about 161.5488131514.

The spelling of 4216104 in words is "four million, two hundred sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 149 216 262 298 393 447 524 596 786 894 1048 1179 1192 1341 1572 1788 2358 2682 3144 3537 3576 4023 4716 5364 7074 8046 9432 10728 14148 16092 19519 28296 32184 39038 58557 78076 117114 156152 175671 234228 351342 468456 527013 702684 1054026 1405368 2108052 4216104