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241320090 = 235114715559
BaseRepresentation
bin11100110001001…
…00000010011010
3121211002022221010
432120210002122
5443234220330
635540154350
75660121054
oct1630440232
9554068833
10241320090
111142453a0
12689989b6
133acc396b
142409a8d4
15162bc3b0
hexe62409a

241320090 has 64 divisors (see below), whose sum is σ = 645304320. Its totient is φ = 57253440.

The previous prime is 241320073. The next prime is 241320091. The reversal of 241320090 is 90023142.

It is not an unprimeable number, because it can be changed into a prime (241320091) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7731 + ... + 23289.

It is an arithmetic number, because the mean of its divisors is an integer number (10082880).

Almost surely, 2241320090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241320090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322652160).

241320090 is an abundant number, since it is smaller than the sum of its proper divisors (403984230).

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

241320090 is a wasteful number, since it uses less digits than its factorization.

241320090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15627.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 241320090 is about 15534.4806800871. The cubic root of 241320090 is about 622.5838147818.

The spelling of 241320090 in words is "two hundred forty-one million, three hundred twenty thousand, ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 3102 5170 7755 15510 15559 31118 46677 77795 93354 155590 171149 233385 342298 466770 513447 731273 855745 1026894 1462546 1711490 2193819 2567235 3656365 4387638 5134470 7312730 8044003 10969095 16088006 21938190 24132009 40220015 48264018 80440030 120660045 241320090