Search a number
-
+
241755240 = 233519106033
BaseRepresentation
bin11100110100011…
…10010001101000
3121211220102211210
432122032101220
5443342131430
635553353120
75663612526
oct1632162150
9554812753
10241755240
11114512321
1268b687a0
133b116a4c
1424171316
15163562b0
hexe68e468

241755240 has 64 divisors (see below), whose sum is σ = 763444800. Its totient is φ = 61074432.

The previous prime is 241755211. The next prime is 241755257. The reversal of 241755240 is 42557142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241755198 and 241755207.

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, 50737 + ... + 55296.

It is an arithmetic number, because the mean of its divisors is an integer number (11928825).

Almost surely, 2241755240 is an apocalyptic number.

241755240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241755240 is an abundant number, since it is smaller than the sum of its proper divisors (521689560).

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

241755240 is a wasteful number, since it uses less digits than its factorization.

241755240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106066 (or 106062 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 241755240 is about 15548.4803115932. The cubic root of 241755240 is about 622.9578058434.

241755240 divided by its sum of digits (30) gives a palindrome (8058508).

The spelling of 241755240 in words is "two hundred forty-one million, seven hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 106033 212066 318099 424132 530165 636198 848264 1060330 1272396 1590495 2014627 2120660 2544792 3180990 4029254 4241320 6043881 6361980 8058508 10073135 12087762 12723960 16117016 20146270 24175524 30219405 40292540 48351048 60438810 80585080 120877620 241755240