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40024140 = 22351323297
BaseRepresentation
bin1001100010101…
…1100001001100
32210022102210120
42120223201030
540221233030
63545504540
7664125312
oct230534114
983272716
1040024140
1120657802
12114a2150
1383a4830
14545c0b2
1537a9010
hex262b84c

40024140 has 144 divisors (see below), whose sum is σ = 127464288. Its totient is φ = 9326592.

The previous prime is 40024133. The next prime is 40024151. The reversal of 40024140 is 4142004.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 412572 + ... + 412668.

Almost surely, 240024140 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 40024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63732144).

40024140 is an abundant number, since it is smaller than the sum of its proper divisors (87440148).

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

40024140 is a wasteful number, since it uses less digits than its factorization.

40024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

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

The square root of 40024140 is about 6326.4634670565. The cubic root of 40024140 is about 342.0639735324.

Adding to 40024140 its reverse (4142004), we get a palindrome (44166144).

The spelling of 40024140 in words is "forty million, twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 97 115 130 138 156 194 195 230 260 276 291 299 345 388 390 460 485 529 582 598 690 780 897 970 1058 1164 1196 1261 1380 1455 1495 1587 1794 1940 2116 2231 2522 2645 2910 2990 3174 3588 3783 4462 4485 5044 5290 5820 5980 6305 6348 6693 6877 7566 7935 8924 8970 10580 11155 12610 13386 13754 15132 15870 17940 18915 20631 22310 25220 26772 27508 29003 31740 33465 34385 37830 41262 44620 51313 58006 66930 68770 75660 82524 87009 102626 103155 116012 133860 137540 145015 153939 174018 205252 206310 256565 290030 307878 348036 412620 435045 513130 580060 615756 667069 769695 870090 1026260 1334138 1539390 1740180 2001207 2668276 3078780 3335345 4002414 6670690 8004828 10006035 13341380 20012070 40024140