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40260000 = 253541161
BaseRepresentation
bin1001100110010…
…1000110100000
32210202102100010
42121211012200
540301310000
63554524520
7666130044
oct231450640
983672303
1040260000
11207a8a30
1211596740
138457cb1
1454c0024
153803d50
hex26651a0

40260000 has 240 divisors, whose sum is σ = 146428128. Its totient is φ = 9600000.

The previous prime is 40259987. The next prime is 40260023. The reversal of 40260000 is 6204.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 610 × 110 × 600.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659970 + ... + 660030.

Almost surely, 240260000 is an apocalyptic number.

40260000 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 40260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73214064).

40260000 is an abundant number, since it is smaller than the sum of its proper divisors (106168128).

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

40260000 is a wasteful number, since it uses less digits than its factorization.

40260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 40260000 is about 6345.0768316861. The cubic root of 40260000 is about 342.7345792074.

Adding to 40260000 its reverse (6204), we get a palindrome (40266204).

The spelling of 40260000 in words is "forty million, two hundred sixty thousand".