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40022640 = 2433572647
BaseRepresentation
bin1001100010101…
…1001001110000
32210022100202000
42120223021300
540221211030
63545454000
7664121040
oct230531160
983270660
1040022640
1120656669
12114a1300
1383a3c48
14545b720
1537a8860
hex262b270

40022640 has 160 divisors (see below), whose sum is σ = 157608960. Its totient is φ = 9144576.

The previous prime is 40022621. The next prime is 40022657. The reversal of 40022640 is 4622004.

40022640 is a `hidden beast` number, since 4 + 0 + 0 + 22 + 640 = 666.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13797 + ... + 16443.

It is an arithmetic number, because the mean of its divisors is an integer number (985056).

Almost surely, 240022640 is an apocalyptic number.

40022640 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 40022640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78804480).

40022640 is an abundant number, since it is smaller than the sum of its proper divisors (117586320).

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

40022640 is a wasteful number, since it uses less digits than its factorization.

40022640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2664 counting only the distinct ones).

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

The square root of 40022640 is about 6326.3449163004. The cubic root of 40022640 is about 342.0597002582.

Adding to 40022640 its reverse (4622004), we get a palindrome (44644644).

The spelling of 40022640 in words is "forty million, twenty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 2647 3024 3780 5040 5294 7560 7941 10588 13235 15120 15882 18529 21176 23823 26470 31764 37058 39705 42352 47646 52940 55587 63528 71469 74116 79410 92645 95292 105880 111174 119115 127056 142938 148232 158820 166761 185290 190584 211760 222348 238230 277935 285876 296464 317640 333522 357345 370580 381168 444696 476460 500283 555870 571752 635280 667044 714690 741160 833805 889392 952920 1000566 1111740 1143504 1334088 1429380 1482320 1667610 1905840 2001132 2223480 2501415 2668176 2858760 3335220 4002264 4446960 5002830 5717520 6670440 8004528 10005660 13340880 20011320 40022640