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40130496 = 2632737269
BaseRepresentation
bin1001100100010…
…1011111000000
32210111211200200
42121011133000
540233133441
63552045200
7665050350
oct231053700
983454620
1040130496
112071a6aa
1211533800
138411073
145488b60
1537ca7b6
hex26457c0

40130496 has 168 divisors, whose sum is σ = 135514080. Its totient is φ = 11114496.

The previous prime is 40130491. The next prime is 40130501. The reversal of 40130496 is 69403104.

40130496 is a `hidden beast` number, since 40 + 130 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (40130491) and next prime (40130501).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×401304962 = 3220913418412032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130491) 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 23 ways as a sum of consecutive naturals, for example, 149050 + ... + 149318.

Almost surely, 240130496 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 40130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67757040).

40130496 is an abundant number, since it is smaller than the sum of its proper divisors (95383584).

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

40130496 is a wasteful number, since it uses less digits than its factorization.

40130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40130496 is about 6334.8635344418. The cubic root of 40130496 is about 342.3666939974.

The spelling of 40130496 in words is "forty million, one hundred thirty thousand, four hundred ninety-six".