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40149720 = 233251323373
BaseRepresentation
bin1001100100101…
…0001011011000
32210112211001200
42121022023120
540234242340
63552314200
7665160402
oct231121330
983484050
1040149720
1120733096
1211542960
138419a40
145491b72
1537d1330
hex264a2d8

40149720 has 192 divisors, whose sum is σ = 147026880. Its totient is φ = 9427968.

The previous prime is 40149649. The next prime is 40149721. The reversal of 40149720 is 2794104.

It is a happy number.

It is a super-2 number, since 2×401497202 = 3224000032156800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40149721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 107454 + ... + 107826.

It is an arithmetic number, because the mean of its divisors is an integer number (765765).

Almost surely, 240149720 is an apocalyptic number.

40149720 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 40149720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73513440).

40149720 is an abundant number, since it is smaller than the sum of its proper divisors (106877160).

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

40149720 is a wasteful number, since it uses less digits than its factorization.

40149720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40149720 is about 6336.3806703827. The cubic root of 40149720 is about 342.4213540631.

The spelling of 40149720 in words is "forty million, one hundred forty-nine thousand, seven hundred twenty".