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40973760 = 2632541347
BaseRepresentation
bin1001110001001…
…1010111000000
32212002200102200
42130103113000
540442130020
64022113200
71005162012
oct234232700
985080380
1040973760
1121146213
121187b800
138647b39
1456281b2
1538e5590
hex27135c0

40973760 has 168 divisors, whose sum is σ = 144786096. Its totient is φ = 10629120.

The previous prime is 40973753. The next prime is 40973843. The reversal of 40973760 is 6737904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117907 + ... + 118253.

It is an arithmetic number, because the mean of its divisors is an integer number (861822).

Almost surely, 240973760 is an apocalyptic number.

40973760 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 40973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72393048).

40973760 is an abundant number, since it is smaller than the sum of its proper divisors (103812336).

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

40973760 is a wasteful number, since it uses less digits than its factorization.

40973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 40973760 is about 6401.0749097320. The cubic root of 40973760 is about 344.7481463717.

The spelling of 40973760 in words is "forty million, nine hundred seventy-three thousand, seven hundred sixty".