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84000241 = 139976481
BaseRepresentation
bin1010000000110…
…11110111110001
312212001122200001
411000123313301
5133001001431
612200230001
72036663443
oct500336761
9185048601
1084000241
1143463696
122416b301
13145310b0
14b228493
157593e61
hex501bdf1

84000241 has 8 divisors (see below), whose sum is σ = 90566504. Its totient is φ = 77448960.

The previous prime is 84000227. The next prime is 84000251. The reversal of 84000241 is 14200048.

84000241 is a nontrivial binomial coefficient, being equal to C(12962, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 33177600 + 50822641 = 5760^2 + 7129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 84000241 - 211 = 83998193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84000221) 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, 9721 + ... + 16201.

It is an arithmetic number, because the mean of its divisors is an integer number (11320813).

Almost surely, 284000241 is an apocalyptic number.

84000241 is the 12961-st triangular number and also the 6481-st hexagonal number.

84000241 is the 4321-st centered nonagonal number.

It is an amenable number.

84000241 is a deficient number, since it is larger than the sum of its proper divisors (6566263).

84000241 is a wasteful number, since it uses less digits than its factorization.

84000241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 84000241 is about 9165.1645375301. The cubic root of 84000241 is about 437.9523328234.

Adding to 84000241 its reverse (14200048), we get a palindrome (98200289).

The spelling of 84000241 in words is "eighty-four million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 13 997 6481 12961 84253 6461557 84000241