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40012440 = 23351321973
BaseRepresentation
bin1001100010100…
…0101010011000
32210021211202020
42120220222120
540220344230
63545334440
7664046226
oct230505230
983254666
1040012440
1120649a36
1211497420
13839c400
145457b16
1537a5810
hex2628a98

40012440 has 96 divisors (see below), whose sum is σ = 130047120. Its totient is φ = 9844224.

The previous prime is 40012417. The next prime is 40012447. The reversal of 40012440 is 4421004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40012447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19294 + ... + 21266.

Almost surely, 240012440 is an apocalyptic number.

40012440 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 40012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65023560).

40012440 is an abundant number, since it is smaller than the sum of its proper divisors (90034680).

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

40012440 is a wasteful number, since it uses less digits than its factorization.

40012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 40012440 is about 6325.5387122363. The cubic root of 40012440 is about 342.0306391619.

Adding to 40012440 its reverse (4421004), we get a palindrome (44433444).

It can be divided in two parts, 4001 and 2440, that added together give a triangular number (6441 = T113).

The spelling of 40012440 in words is "forty million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 1973 2028 2535 3380 3946 4056 5070 5919 6760 7892 9865 10140 11838 15784 19730 20280 23676 25649 29595 39460 47352 51298 59190 76947 78920 102596 118380 128245 153894 205192 236760 256490 307788 333437 384735 512980 615576 666874 769470 1000311 1025960 1333748 1538940 1667185 2000622 2667496 3077880 3334370 4001244 5001555 6668740 8002488 10003110 13337480 20006220 40012440