Search a number
-
+
7121868 = 2231371643
BaseRepresentation
bin11011001010101111001100
3111101211100220
4123022233030
53310344433
6412351340
7114351315
oct33125714
914354326
107121868
114024846
122475550
131624830
14d3560c
1595a2b3
hex6cabcc

7121868 has 48 divisors (see below), whose sum is σ = 18176256. Its totient is φ = 2157120.

The previous prime is 7121867. The next prime is 7121879. The reversal of 7121868 is 8681217.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7121867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10755 + ... + 11397.

It is an arithmetic number, because the mean of its divisors is an integer number (378672).

Almost surely, 27121868 is an apocalyptic number.

7121868 is a gapful number since it is divisible by the number (78) 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 7121868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088128).

7121868 is an abundant number, since it is smaller than the sum of its proper divisors (11054388).

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

7121868 is a wasteful number, since it uses less digits than its factorization.

7121868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 732 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 7121868 is about 2668.6828211685. The cubic root of 7121868 is about 192.3968570969.

The spelling of 7121868 in words is "seven million, one hundred twenty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 643 852 923 1286 1846 1929 2572 2769 3692 3858 5538 7716 8359 11076 16718 25077 33436 45653 50154 91306 100308 136959 182612 273918 547836 593489 1186978 1780467 2373956 3560934 7121868