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240466240 = 2657107351
BaseRepresentation
bin11100101010100…
…11100101000000
3121202110221200001
432111103211000
5443024404430
635510005344
75646633520
oct1625234500
9552427601
10240466240
11113811933
1268646854
133aa85121
1423d17680
151619e3ca
hexe553940

240466240 has 56 divisors (see below), whose sum is σ = 654417792. Its totient is φ = 82444800.

The previous prime is 240466229. The next prime is 240466243. The reversal of 240466240 is 42664042.

240466240 is digitally balanced in base 3, 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 (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 240466199 and 240466208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240466243) 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, 51436 + ... + 55915.

It is an arithmetic number, because the mean of its divisors is an integer number (11686032).

Almost surely, 2240466240 is an apocalyptic number.

240466240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240466240 is an abundant number, since it is smaller than the sum of its proper divisors (413951552).

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

240466240 is a wasteful number, since it uses less digits than its factorization.

240466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107375 (or 107365 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 240466240 is about 15506.9739149842. The cubic root of 240466240 is about 621.8486620159.

It can be divided in two parts, 2404 and 66240, that added together give a square (68644 = 2622).

The spelling of 240466240 in words is "two hundred forty million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 107351 214702 429404 536755 751457 858808 1073510 1502914 1717616 2147020 3005828 3435232 3757285 4294040 6011656 6870464 7514570 8588080 12023312 15029140 17176160 24046624 30058280 34352320 48093248 60116560 120233120 240466240