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45660240 = 2433521139
BaseRepresentation
bin1010111000101…
…1100001010000
310011220210002000
42232023201100
543142111430
64310354000
71063051143
oct256134120
9104823060
1045660240
112385723a
121335b900
1395c8cc2
1460c805a
15401de60
hex2b8b850

45660240 has 80 divisors (see below), whose sum is σ = 157281600. Its totient is φ = 12175488.

The previous prime is 45660229. The next prime is 45660253. The reversal of 45660240 is 4206654.

It is a happy number.

45660240 is a `hidden beast` number, since 4 + 56 + 602 + 4 + 0 = 666.

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 (27).

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 15 ways as a sum of consecutive naturals, for example, 8410 + ... + 12729.

It is an arithmetic number, because the mean of its divisors is an integer number (1966020).

Almost surely, 245660240 is an apocalyptic number.

45660240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45660240 is an abundant number, since it is smaller than the sum of its proper divisors (111621360).

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

45660240 is a wasteful number, since it uses less digits than its factorization.

45660240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21161 (or 21149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45660240 is about 6757.2361213739. The cubic root of 45660240 is about 357.4204494783.

Adding to 45660240 its reverse (4206654), we get a palindrome (49866894).

The spelling of 45660240 in words is "forty-five million, six hundred sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 21139 42278 63417 84556 105695 126834 169112 190251 211390 253668 317085 338224 380502 422780 507336 570753 634170 761004 845560 951255 1014672 1141506 1268340 1522008 1691120 1902510 2283012 2536680 2853765 3044016 3805020 4566024 5073360 5707530 7610040 9132048 11415060 15220080 22830120 45660240