Search a number
-
+
40534560 = 2533511853
BaseRepresentation
bin1001101010100…
…0001000100000
32211021100222000
42122220020200
540334101220
64004444000
71001352363
oct232501040
984240860
1040534560
1120976240
12116a9600
138522c61
1455520da
15385a390
hex26a8220

40534560 has 192 divisors, whose sum is σ = 154949760. Its totient is φ = 9815040.

The previous prime is 40534553. The next prime is 40534567. The reversal of 40534560 is 6543504.

It is an interprime number because it is at equal distance from previous prime (40534553) and next prime (40534567).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40534567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47094 + ... + 47946.

It is an arithmetic number, because the mean of its divisors is an integer number (807030).

Almost surely, 240534560 is an apocalyptic number.

40534560 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 40534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77474880).

40534560 is an abundant number, since it is smaller than the sum of its proper divisors (114415200).

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

40534560 is a wasteful number, since it uses less digits than its factorization.

40534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 40534560 is about 6366.6757417038. The cubic root of 40534560 is about 343.5119272760.

The spelling of 40534560 in words is "forty million, five hundred thirty-four thousand, five hundred sixty".