Search a number
-
+
2018406936 = 23371319127383
BaseRepresentation
bin111100001001110…
…0111001000011000
312012122222200210110
41320103213020120
513113203010221
6532141244320
7101006114220
oct17023471030
95178880713
102018406936
1194637a007
12483b636a0
13262220640
141520cb080
15bc2eb776
hex784e7218

2018406936 has 256 divisors, whose sum is σ = 6606028800. Its totient is φ = 499032576.

The previous prime is 2018406919. The next prime is 2018406937. The reversal of 2018406936 is 6396048102.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2018406894 and 2018406903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018406937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5269801 + ... + 5270183.

It is an arithmetic number, because the mean of its divisors is an integer number (25804800).

Almost surely, 22018406936 is an apocalyptic number.

2018406936 is a gapful number since it is divisible by the number (26) 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 2018406936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303014400).

2018406936 is an abundant number, since it is smaller than the sum of its proper divisors (4587621864).

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

2018406936 is a wasteful number, since it uses less digits than its factorization.

2018406936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2018406936 is about 44926.6840085043. The cubic root of 2018406936 is about 1263.7744667176.

The spelling of 2018406936 in words is "two billion, eighteen million, four hundred six thousand, nine hundred thirty-six".