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4105368 = 2332193001
BaseRepresentation
bin1111101010010010011000
321201120111200
433222102120
52022332433
6223554200
746616001
oct17522230
97646450
104105368
112354473
12145b960
13b09817
1478c1a8
15561613
hex3ea498

4105368 has 48 divisors (see below), whose sum is σ = 11707800. Its totient is φ = 1296000.

The previous prime is 4105363. The next prime is 4105373. The reversal of 4105368 is 8635014.

4105368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4105363) and next prime (4105373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105363) 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, 133 + ... + 2868.

Almost surely, 24105368 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 4105368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853900).

4105368 is an abundant number, since it is smaller than the sum of its proper divisors (7602432).

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

4105368 is a wasteful number, since it uses less digits than its factorization.

4105368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4105368 is about 2026.1707726645. The cubic root of 4105368 is about 160.1218862914.

It can be divided in two parts, 410 and 5368, that added together give a triangular number (5778 = T107).

The spelling of 4105368 in words is "four million, one hundred five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 3001 6002 9003 12004 18006 24008 27009 36012 54018 57019 72024 108036 114038 171057 216072 228076 342114 456152 513171 684228 1026342 1368456 2052684 4105368