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40940460 = 2232511232931
BaseRepresentation
bin1001110000101…
…1001110101100
32212000222202100
42130023032230
540440043320
64021255100
71004662641
oct234131654
985028670
1040940460
11211231a0
1211864490
138635932
145619dc8
1538da790
hex270b3ac

40940460 has 288 divisors, whose sum is σ = 150958080. Its totient is φ = 8870400.

The previous prime is 40940443. The next prime is 40940519. The reversal of 40940460 is 6404904.

40940460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×409404602 = 3352242530023200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320645 + ... + 1320675.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 240940460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40940460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

40940460 is an abundant number, since it is smaller than the sum of its proper divisors (110017620).

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

40940460 is a wasteful number, since it uses less digits than its factorization.

40940460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40940460 is about 6398.4732553946. The cubic root of 40940460 is about 344.6547270329.

The spelling of 40940460 in words is "forty million, nine hundred forty thousand, four hundred sixty".