Search a number
-
+
6041555460 = 2232533564197
BaseRepresentation
bin1011010000001101…
…01101001000000100
3120121001020211001100
411220012231020010
544333114233320
62435255300100
7302500242213
oct55006551004
916531224040
106041555460
112620334046
12120737a630
137538885b5
1441454907a
152555e5790
hex1681ad204

6041555460 has 36 divisors (see below), whose sum is σ = 18326052108. Its totient is φ = 1611081408.

The previous prime is 6041555459. The next prime is 6041555461. The reversal of 6041555460 is 645551406.

6041555460 is a `hidden beast` number, since 6 + 0 + 41 + 5 + 554 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (6041555459) and next prime (6041555461).

It can be written as a sum of positive squares in 2 ways, for example, as 3929785344 + 2111770116 = 62688^2 + 45954^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6041555461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16781919 + ... + 16782278.

It is an arithmetic number, because the mean of its divisors is an integer number (509057003).

Almost surely, 26041555460 is an apocalyptic number.

6041555460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6041555460 is an abundant number, since it is smaller than the sum of its proper divisors (12284496648).

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

6041555460 is a wasteful number, since it uses less digits than its factorization.

6041555460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33564212 (or 33564207 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 6041555460 is about 77727.4434160805. The cubic root of 6041555460 is about 1821.3060162589.

The spelling of 6041555460 in words is "six billion, forty-one million, five hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 33564197 67128394 100692591 134256788 167820985 201385182 302077773 335641970 402770364 503462955 604155546 671283940 1006925910 1208311092 1510388865 2013851820 3020777730 6041555460