Search a number
-
+
40702200 = 23352711881
BaseRepresentation
bin1001101101000…
…1000011111000
32211120212220220
42123101003320
540404432300
64012220040
71002651210
oct233210370
984525826
1040702200
1120a80190
121176a620
138581356
145597240
15388eda0
hex26d10f8

40702200 has 192 divisors, whose sum is σ = 157489920. Its totient is φ = 8448000.

The previous prime is 40702187. The next prime is 40702219. The reversal of 40702200 is 220704.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40702200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45760 + ... + 46640.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 240702200 is an apocalyptic number.

40702200 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 40702200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

40702200 is an abundant number, since it is smaller than the sum of its proper divisors (116787720).

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

40702200 is a wasteful number, since it uses less digits than its factorization.

40702200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 40702200 is about 6379.8275838772. The cubic root of 40702200 is about 343.9848334759.

Adding to 40702200 its reverse (220704), we get a palindrome (40922904).

The spelling of 40702200 in words is "forty million, seven hundred two thousand, two hundred".