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40640040 = 23325716127
BaseRepresentation
bin1001101100000…
…1111000101000
32211110201122200
42123001320220
540400440130
64011020200
71002302040
oct233017050
984421580
1040640040
1120a38511
121173a660
13855bc7c
14557c720
15387b760
hex26c1e28

40640040 has 96 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 9288576.

The previous prime is 40640009. The next prime is 40640051. The reversal of 40640040 is 4004604.

It is a super-2 number, since 2×406400402 = 3303225702403200, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 40639995 and 40640022.

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 23 ways as a sum of consecutive naturals, for example, 5544 + ... + 10583.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 240640040 is an apocalyptic number.

40640040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40640040 is an abundant number, since it is smaller than the sum of its proper divisors (110318040).

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

40640040 is a wasteful number, since it uses less digits than its factorization.

40640040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16151 (or 16144 counting only the distinct ones).

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

The square root of 40640040 is about 6374.9541174819. The cubic root of 40640040 is about 343.8096341719.

Adding to 40640040 its reverse (4004604), we get a palindrome (44644644).

The spelling of 40640040 in words is "forty million, six hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 16127 32254 48381 64508 80635 96762 112889 129016 145143 161270 193524 225778 241905 290286 322540 338667 387048 451556 483810 564445 580572 645080 677334 725715 903112 967620 1016001 1128890 1161144 1354668 1451430 1693335 1935240 2032002 2257780 2709336 2902860 3386670 4064004 4515560 5080005 5805720 6773340 8128008 10160010 13546680 20320020 40640040