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40315520 = 27578999
BaseRepresentation
bin1001100111001…
…0101010000000
32210212020111102
42121302222000
540310044040
64000033532
7666450650
oct231625200
983766442
1040315520
1120836713
12116028a8
13847734b
1454d6360
153815515
hex2672a80

40315520 has 64 divisors (see below), whose sum is σ = 110160000. Its totient is φ = 13820928.

The previous prime is 40315489. The next prime is 40315523. The reversal of 40315520 is 2551304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 40315492 and 40315501.

It is not an unprimeable number, because it can be changed into a prime (40315523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20 + ... + 8979.

It is an arithmetic number, because the mean of its divisors is an integer number (1721250).

Almost surely, 240315520 is an apocalyptic number.

40315520 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 40315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080000).

40315520 is an abundant number, since it is smaller than the sum of its proper divisors (69844480).

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

40315520 is an equidigital number, since it uses as much as digits as its factorization.

40315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025 (or 9013 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 40315520 is about 6349.4503699139. The cubic root of 40315520 is about 342.8920546460.

Adding to 40315520 its reverse (2551304), we get a palindrome (42866824).

The spelling of 40315520 in words is "forty million, three hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 8999 17998 35996 44995 62993 71992 89990 125986 143984 179980 251972 287968 314965 359960 503944 575936 629930 719920 1007888 1151872 1259860 1439840 2015776 2519720 2879680 4031552 5039440 5759360 8063104 10078880 20157760 40315520