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40133340 = 22335135717
BaseRepresentation
bin1001100100011…
…0001011011100
32210111222121000
42121012023130
540233231330
63552110300
7665061552
oct231061334
983458530
1040133340
1120721855
1211535390
138412450
145489bd2
1537cb560
hex26462dc

40133340 has 96 divisors (see below), whose sum is σ = 134487360. Its totient is φ = 9877248.

The previous prime is 40133323. The next prime is 40133351. The reversal of 40133340 is 4333104.

It is a super-2 number, since 2×401333402 = 3221369959111200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4162 + ... + 9878.

It is an arithmetic number, because the mean of its divisors is an integer number (1400910).

Almost surely, 240133340 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 40133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67243680).

40133340 is an abundant number, since it is smaller than the sum of its proper divisors (94354020).

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

40133340 is a wasteful number, since it uses less digits than its factorization.

40133340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 40133340 is about 6335.0880025458. The cubic root of 40133340 is about 342.3747815116.

Adding to 40133340 its reverse (4333104), we get a palindrome (44466444).

The spelling of 40133340 in words is "forty million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 5717 7020 11434 17151 22868 28585 34302 51453 57170 68604 74321 85755 102906 114340 148642 154359 171510 205812 222963 257265 297284 308718 343020 371605 445926 514530 617436 668889 743210 771795 891852 1029060 1114815 1337778 1486420 1543590 2006667 2229630 2675556 3087180 3344445 4013334 4459260 6688890 8026668 10033335 13377780 20066670 40133340