Search a number
-
+
240202128 = 24329434013
BaseRepresentation
bin11100101000100…
…11000110010000
3121201222112101010
432110103012100
5442442432003
635500210520
75644453515
oct1624230620
9551875333
10240202128
11113651461
1268539a40
133a9c1b4a
1423c8930c
151614b003
hexe513190

240202128 has 80 divisors (see below), whose sum is σ = 657011520. Its totient is φ = 75489792.

The previous prime is 240202111. The next prime is 240202141. The reversal of 240202128 is 821202042.

It is a happy 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, 57850 + ... + 61862.

It is an arithmetic number, because the mean of its divisors is an integer number (8212644).

Almost surely, 2240202128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240202128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328505760).

240202128 is an abundant number, since it is smaller than the sum of its proper divisors (416809392).

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

240202128 is a wasteful number, since it uses less digits than its factorization.

240202128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 240202128 is about 15498.4556650009. The cubic root of 240202128 is about 621.6209129845.

The spelling of 240202128 in words is "two hundred forty million, two hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 1032 1247 1392 2064 2494 3741 4013 4988 7482 8026 9976 12039 14964 16052 19952 24078 29928 32104 48156 59856 64208 96312 116377 172559 192624 232754 345118 349131 465508 517677 690236 698262 931016 1035354 1380472 1396524 1862032 2070708 2760944 2793048 4141416 5004211 5586096 8282832 10008422 15012633 20016844 30025266 40033688 60050532 80067376 120101064 240202128