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4106112 = 27317237
BaseRepresentation
bin1111101010011110000000
321201121112020
433222132000
52022343422
6224001440
746621113
oct17523600
97647466
104106112
112354a8a
121460280
13b09c6a
1478c57a
1556195c
hex3ea780

4106112 has 96 divisors (see below), whose sum is σ = 11899320. Its totient is φ = 1253376.

The previous prime is 4106111. The next prime is 4106117. The reversal of 4106112 is 2116014.

4106112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4106091 and 4106100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110958 + ... + 110994.

Almost surely, 24106112 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 4106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949660).

4106112 is an abundant number, since it is smaller than the sum of its proper divisors (7793208).

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

4106112 is a wasteful number, since it uses less digits than its factorization.

4106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 59 counting only the distinct ones).

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

The square root of 4106112 is about 2026.3543619022. The cubic root of 4106112 is about 160.1315584643.

The spelling of 4106112 in words is "four million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 192 204 222 272 289 296 384 408 444 544 578 592 629 816 867 888 1088 1156 1184 1258 1632 1734 1776 1887 2176 2312 2368 2516 3264 3468 3552 3774 4624 4736 5032 6528 6936 7104 7548 9248 10064 10693 13872 14208 15096 18496 20128 21386 27744 30192 32079 36992 40256 42772 55488 60384 64158 80512 85544 110976 120768 128316 171088 241536 256632 342176 513264 684352 1026528 1368704 2053056 4106112