Search a number
-
+
71358480 = 2432599109
BaseRepresentation
bin1000100000011…
…01100000010000
311222021101102200
410100031200100
5121231432410
611025243200
71524352134
oct420154020
9158241380
1071358480
1137309756
121ba93500
1311a25c6b
1496973c4
1563e83c0
hex440d810

71358480 has 60 divisors (see below), whose sum is σ = 239647980. Its totient is φ = 19028736.

The previous prime is 71358431. The next prime is 71358487. The reversal of 71358480 is 8485317.

71358480 is a `hidden beast` number, since 71 + 3 + 584 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 30603024 = 6384^2 + 5532^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (71358487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48835 + ... + 50274.

It is an arithmetic number, because the mean of its divisors is an integer number (3994133).

Almost surely, 271358480 is an apocalyptic number.

It is an amenable number.

71358480 is an abundant number, since it is smaller than the sum of its proper divisors (168289500).

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

71358480 is a wasteful number, since it uses less digits than its factorization.

71358480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99128 (or 99119 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 71358480 is about 8447.3948646905. The cubic root of 71358480 is about 414.7775069039. Note that the first 3 decimals are identical.

The spelling of 71358480 in words is "seventy-one million, three hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 99109 198218 297327 396436 495545 594654 792872 891981 991090 1189308 1486635 1585744 1783962 1982180 2378616 2973270 3567924 3964360 4459905 4757232 5946540 7135848 7928720 8919810 11893080 14271696 17839620 23786160 35679240 71358480