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40573680 = 2435724151
BaseRepresentation
bin1001101011000…
…1101011110000
32211100100121220
42122301223300
540341324210
64005345040
71001604420
oct232615360
984310556
1040573680
11209a2674
1211708180
1385379c4
145562480
153866c70
hex26b1af0

40573680 has 80 divisors (see below), whose sum is σ = 143752704. Its totient is φ = 9273600.

The previous prime is 40573609. The next prime is 40573691. The reversal of 40573680 is 8637504.

40573680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 10396 + ... + 13755.

Almost surely, 240573680 is an apocalyptic number.

40573680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40573680 is an abundant number, since it is smaller than the sum of its proper divisors (103179024).

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

40573680 is a wasteful number, since it uses less digits than its factorization.

40573680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24174 (or 24168 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 40573680 is about 6369.7472477328. The cubic root of 40573680 is about 343.6223998031.

The spelling of 40573680 in words is "forty million, five hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 24151 48302 72453 96604 120755 144906 169057 193208 241510 289812 338114 362265 386416 483020 507171 579624 676228 724530 845285 966040 1014342 1159248 1352456 1449060 1690570 1932080 2028684 2535855 2704912 2898120 3381140 4057368 5071710 5796240 6762280 8114736 10143420 13524560 20286840 40573680