Search a number
-
+
40312000 = 26535039
BaseRepresentation
bin1001100111000…
…1110011000000
32210212001200001
42121301303000
540304441000
64000005344
7666434461
oct231616300
983761601
1040312000
1120834003
1211600854
138475871
1454d4d68
15381446a
hex2671cc0

40312000 has 56 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 16121600.

The previous prime is 40311991. The next prime is 40312003. The reversal of 40312000 is 21304.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (40312003) 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, 5481 + ... + 10519.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 240312000 is an apocalyptic number.

40312000 is a gapful number since it is divisible by the number (40) 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 40312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

40312000 is an abundant number, since it is smaller than the sum of its proper divisors (59540480).

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

40312000 is an equidigital number, since it uses as much as digits as its factorization.

40312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 40312000 is about 6349.1731745165. The cubic root of 40312000 is about 342.8820749065.

Adding to 40312000 its reverse (21304), we get a palindrome (40333304).

It can be divided in two parts, 403 and 12000, that added together give a triangular number (12403 = T157).

The spelling of 40312000 in words is "forty million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 5039 8000 10078 20156 25195 40312 50390 80624 100780 125975 161248 201560 251950 322496 403120 503900 629875 806240 1007800 1259750 1612480 2015600 2519500 4031200 5039000 8062400 10078000 20156000 40312000