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40809360 = 2435237393
BaseRepresentation
bin1001101110101…
…1001110010000
32211210022220210
42123223032100
540421344420
64014404120
71003605504
oct233531620
984708823
1040809360
1121043749
1211800640
1385bb067
1455c4304
1538b19e0
hex26eb390

40809360 has 80 divisors (see below), whose sum is σ = 132027264. Its totient is φ = 10407936.

The previous prime is 40809323. The next prime is 40809407. The reversal of 40809360 is 6390804.

40809360 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 Harshad number since it is a multiple of its sum of digits (30).

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, 1824 + ... + 9216.

Almost surely, 240809360 is an apocalyptic number.

40809360 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 40809360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66013632).

40809360 is an abundant number, since it is smaller than the sum of its proper divisors (91217904).

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

40809360 is a wasteful number, since it uses less digits than its factorization.

40809360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7426 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40809360 is about 6388.2204094724. The cubic root of 40809360 is about 344.2864479066.

The spelling of 40809360 in words is "forty million, eight hundred nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 7393 14786 22179 29572 36965 44358 59144 73930 88716 110895 118288 147860 170039 177432 221790 295720 340078 354864 443580 510117 591440 680156 850195 887160 1020234 1360312 1700390 1774320 2040468 2550585 2720624 3400780 4080936 5101170 6801560 8161872 10202340 13603120 20404680 40809360