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40132440 = 23325412719
BaseRepresentation
bin1001100100010…
…1111101011000
32210111221100200
42121011331120
540233214230
63552102200
7665056125
oct231057530
983457320
1040132440
1120721107
1211534960
138411c0a
14548974c
1537cb160
hex2645f58

40132440 has 96 divisors (see below), whose sum is σ = 133660800. Its totient is φ = 10437120.

The previous prime is 40132439. The next prime is 40132511. The reversal of 40132440 is 4423104.

40132440 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 2×401324402 = 3221225480707200, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13401 + ... + 16119.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 240132440 is an apocalyptic number.

40132440 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 40132440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

40132440 is an abundant number, since it is smaller than the sum of its proper divisors (93528360).

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

40132440 is a wasteful number, since it uses less digits than its factorization.

40132440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40132440 is about 6335.0169691959. The cubic root of 40132440 is about 342.3722222130.

Adding to 40132440 its reverse (4423104), we get a palindrome (44555544).

The spelling of 40132440 in words is "forty million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2719 2952 3690 4920 5438 7380 8157 10876 13595 14760 16314 21752 24471 27190 32628 40785 48942 54380 65256 81570 97884 108760 111479 122355 163140 195768 222958 244710 326280 334437 445916 489420 557395 668874 891832 978840 1003311 1114790 1337748 1672185 2006622 2229580 2675496 3344370 4013244 4459160 5016555 6688740 8026488 10033110 13377480 20066220 40132440