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40906080 = 2533517557
BaseRepresentation
bin1001110000001…
…0110101100000
32211222020121000
42130002311200
540432443310
64020432000
71004460465
oct234026540
984866530
1040906080
11210aa386
1211848600
1386230a7
14560b66c
1538d04c0
hex2702d60

40906080 has 192 divisors, whose sum is σ = 151865280. Its totient is φ = 10248192.

The previous prime is 40906079. The next prime is 40906093. The reversal of 40906080 is 8060904.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73162 + ... + 73718.

It is an arithmetic number, because the mean of its divisors is an integer number (790965).

Almost surely, 240906080 is an apocalyptic number.

40906080 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 40906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

40906080 is an abundant number, since it is smaller than the sum of its proper divisors (110959200).

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

40906080 is a wasteful number, since it uses less digits than its factorization.

40906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40906080 is about 6395.7861127464. The cubic root of 40906080 is about 344.5582247148.

Adding to 40906080 its reverse (8060904), we get a palindrome (48966984).

The spelling of 40906080 in words is "forty million, nine hundred six thousand, eighty".