Search a number
-
+
541407216 = 24371611331
BaseRepresentation
bin100000010001010…
…011011111110000
31101201202100002010
4200101103133300
52102100012331
6125420122520
716262612460
oct4021233760
91351670063
10541407216
11258679289
12131396440
13882222cc
1451c93ba0
15327e6e46
hex204537f0

541407216 has 40 divisors (see below), whose sum is σ = 1598441344. Its totient is φ = 154687680.

The previous prime is 541407193. The next prime is 541407239. The reversal of 541407216 is 612704145.

It is an interprime number because it is at equal distance from previous prime (541407193) and next prime (541407239).

It is a zygodrome in base 13.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 805330 + ... + 806001.

Almost surely, 2541407216 is an apocalyptic number.

541407216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

541407216 is an abundant number, since it is smaller than the sum of its proper divisors (1057034128).

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

541407216 is a wasteful number, since it uses less digits than its factorization.

541407216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611349 (or 1611343 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 541407216 is about 23268.1588442232. The cubic root of 541407216 is about 815.0320365793.

The spelling of 541407216 in words is "five hundred forty-one million, four hundred seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1611331 3222662 4833993 6445324 9667986 11279317 12890648 19335972 22558634 25781296 33837951 38671944 45117268 67675902 77343888 90234536 135351804 180469072 270703608 541407216