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4102368 = 253151283
BaseRepresentation
bin1111101001100011100000
321201102101120
433221203200
52022233433
6223532240
746604154
oct17514340
97642346
104102368
112352196
12145a080
13b0834a
1478b064
155607b3
hex3e98e0

4102368 has 48 divisors (see below), whose sum is σ = 10878336. Its totient is φ = 1353600.

The previous prime is 4102363. The next prime is 4102379. The reversal of 4102368 is 8632014.

It is a happy number.

4102368 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102363) 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 7 ways as a sum of consecutive naturals, for example, 14355 + ... + 14637.

It is an arithmetic number, because the mean of its divisors is an integer number (226632).

Almost surely, 24102368 is an apocalyptic number.

4102368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439168).

4102368 is an abundant number, since it is smaller than the sum of its proper divisors (6775968).

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

4102368 is a wasteful number, since it uses less digits than its factorization.

4102368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4102368 is about 2025.4303246471. The cubic root of 4102368 is about 160.0828737339.

The spelling of 4102368 in words is "four million, one hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 283 302 453 566 604 849 906 1132 1208 1698 1812 2264 2416 3396 3624 4528 4832 6792 7248 9056 13584 14496 27168 42733 85466 128199 170932 256398 341864 512796 683728 1025592 1367456 2051184 4102368