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40130040 = 23351372441
BaseRepresentation
bin1001100100010…
…1010111111000
32210111211001210
42121011113320
540233130130
63552043120
7665046126
oct231052770
983454053
1040130040
112071a325
12115334a0
138410ab2
145488916
1537ca5b0
hex26455f8

40130040 has 64 divisors (see below), whose sum is σ = 121318560. Its totient is φ = 10618880.

The previous prime is 40130017. The next prime is 40130059. The reversal of 40130040 is 4003104.

40130040 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 2×401300402 = 3220840220803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 40129998 and 40130025.

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 15 ways as a sum of consecutive naturals, for example, 15220 + ... + 17660.

Almost surely, 240130040 is an apocalyptic number.

40130040 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 40130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60659280).

40130040 is an abundant number, since it is smaller than the sum of its proper divisors (81188520).

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

40130040 is a wasteful number, since it uses less digits than its factorization.

40130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 40130040 is about 6334.8275430354. The cubic root of 40130040 is about 342.3653972296.

Adding to 40130040 its reverse (4003104), we get a palindrome (44133144).

The spelling of 40130040 in words is "forty million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2441 2740 3288 4110 4882 5480 7323 8220 9764 12205 14646 16440 19528 24410 29292 36615 48820 58584 73230 97640 146460 292920 334417 668834 1003251 1337668 1672085 2006502 2675336 3344170 4013004 5016255 6688340 8026008 10032510 13376680 20065020 40130040