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40920000 = 263541131
BaseRepresentation
bin1001110000011…
…0001111000000
32211222221200120
42130012033000
540433420000
64021020240
71004546202
oct234061700
984887616
1040920000
1121109890
1211854680
138629524
145612772
1538d46a0
hex27063c0

40920000 has 280 divisors, whose sum is σ = 152351232. Its totient is φ = 9600000.

The previous prime is 40919999. The next prime is 40920001. The reversal of 40920000 is 2904.

It is an interprime number because it is at equal distance from previous prime (40919999) and next prime (40920001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40920001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319985 + ... + 1320015.

Almost surely, 240920000 is an apocalyptic number.

40920000 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 40920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76175616).

40920000 is an abundant number, since it is smaller than the sum of its proper divisors (111431232).

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

40920000 is a wasteful number, since it uses less digits than its factorization.

40920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 40920000 is about 6396.8742366878. The cubic root of 40920000 is about 344.5973037184.

Adding to 40920000 its reverse (2904), we get a palindrome (40922904).

The spelling of 40920000 in words is "forty million, nine hundred twenty thousand".