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240228720 = 24335111217
BaseRepresentation
bin11100101000110…
…01100101110000
3121202000212212000
432110121211300
5442444304340
635500534000
75644624164
oct1624314560
9552025760
10240228720
1111366a436
1268551300
133aa00c94
1423c94ca4
1516153d30
hexe519970

240228720 has 80 divisors (see below), whose sum is σ = 827461920. Its totient is φ = 64060416.

The previous prime is 240228719. The next prime is 240228731. The reversal of 240228720 is 27822042.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53449 + ... + 57768.

It is an arithmetic number, because the mean of its divisors is an integer number (10343274).

Almost surely, 2240228720 is an apocalyptic number.

240228720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240228720 is an abundant number, since it is smaller than the sum of its proper divisors (587233200).

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

240228720 is a wasteful number, since it uses less digits than its factorization.

240228720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111239 (or 111227 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 240228720 is about 15499.3135331859. The cubic root of 240228720 is about 621.6438513510.

The spelling of 240228720 in words is "two hundred forty million, two hundred twenty-eight thousand, seven hundred twenty".

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 111217 222434 333651 444868 556085 667302 889736 1000953 1112170 1334604 1668255 1779472 2001906 2224340 2669208 3002859 3336510 4003812 4448680 5004765 5338416 6005718 6673020 8007624 8897360 10009530 12011436 13346040 15014295 16015248 20019060 24022872 26692080 30028590 40038120 48045744 60057180 80076240 120114360 240228720