Search a number
-
+
4127868 = 2233371033
BaseRepresentation
bin1111101111110001111100
321202201101000
433233301330
52024042433
6224250300
750041413
oct17576174
97681330
104127868
11236a368
121470990
13b16b34
1479647a
15568113
hex3efc7c

4127868 has 48 divisors (see below), whose sum is σ = 11001760. Its totient is φ = 1337472.

The previous prime is 4127863. The next prime is 4127891. The reversal of 4127868 is 8687214.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3480 + ... + 4512.

Almost surely, 24127868 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 4127868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500880).

4127868 is an abundant number, since it is smaller than the sum of its proper divisors (6873892).

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

4127868 is a wasteful number, since it uses less digits than its factorization.

4127868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1075 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 4127868 is about 2031.7155312691. The cubic root of 4127868 is about 160.4138764081.

The spelling of 4127868 in words is "four million, one hundred twenty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1033 1332 1998 2066 3099 3996 4132 6198 9297 12396 18594 27891 37188 38221 55782 76442 111564 114663 152884 229326 343989 458652 687978 1031967 1375956 2063934 4127868