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240749540 = 22541331887
BaseRepresentation
bin11100101100110…
…00101111100100
3121210000100021122
432112120233210
5443112441130
635520033112
75652223463
oct1626305744
9553010248
10240749540
11113995769
1268762798
133ab54065
1423d8c9da
15162082e5
hexe598be4

240749540 has 48 divisors (see below), whose sum is σ = 520055424. Its totient is φ = 93561600.

The previous prime is 240749521. The next prime is 240749549. The reversal of 240749540 is 45947042.

It is a self number, because there is not a number n which added to its sum of digits gives 240749540.

It is not an unprimeable number, because it can be changed into a prime (240749549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270977 + ... + 271863.

It is an arithmetic number, because the mean of its divisors is an integer number (10834488).

Almost surely, 2240749540 is an apocalyptic number.

240749540 is a gapful number since it is divisible by the number (20) 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 240749540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260027712).

240749540 is an abundant number, since it is smaller than the sum of its proper divisors (279305884).

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

240749540 is a wasteful number, since it uses less digits than its factorization.

240749540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 240749540 is about 15516.1058258830. The cubic root of 240749540 is about 622.0927719413.

The spelling of 240749540 in words is "two hundred forty million, seven hundred forty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 331 410 662 820 887 1324 1655 1774 3310 3548 4435 6620 8870 13571 17740 27142 36367 54284 67855 72734 135710 145468 181835 271420 293597 363670 587194 727340 1174388 1467985 2935970 5871940 12037477 24074954 48149908 60187385 120374770 240749540