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4198068 = 22357617
BaseRepresentation
bin10000000000111010110100
321220021200000
4100000322310
52033314233
6225551300
750453160
oct20007264
97807600
104198068
112408086
1214a5530
13b3ca84
147b3ca0
1557dd13
hex400eb4

4198068 has 72 divisors (see below), whose sum is σ = 12597312. Its totient is φ = 1197504.

The previous prime is 4198049. The next prime is 4198079. The reversal of 4198068 is 8608914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6496 + ... + 7112.

Almost surely, 24198068 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 4198068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298656).

4198068 is an abundant number, since it is smaller than the sum of its proper divisors (8399244).

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

4198068 is a wasteful number, since it uses less digits than its factorization.

4198068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4198068 is about 2048.9187392378. The cubic root of 4198068 is about 161.3181215689.

The spelling of 4198068 in words is "four million, one hundred ninety-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 617 756 972 1134 1234 1701 1851 2268 2468 3402 3702 4319 5553 6804 7404 8638 11106 12957 16659 17276 22212 25914 33318 38871 49977 51828 66636 77742 99954 116613 149931 155484 199908 233226 299862 349839 466452 599724 699678 1049517 1399356 2099034 4198068