Search a number
-
+
71310480 = 2435417247
BaseRepresentation
bin1000100000000…
…01110010010000
311222011221120220
410100001302100
5121223413410
611024233040
71524062163
oct420016220
9158157526
1071310480
113728668a
121ba6b780
1311a0a167
149683ada
1563d9070
hex4401c90

71310480 has 80 divisors (see below), whose sum is σ = 226485504. Its totient is φ = 18549760.

The previous prime is 71310467. The next prime is 71310487. The reversal of 71310480 is 8401317.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 71310480.

It is not an unprimeable number, because it can be changed into a prime (71310487) 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 15 ways as a sum of consecutive naturals, for example, 6217 + ... + 13463.

Almost surely, 271310480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71310480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113242752).

71310480 is an abundant number, since it is smaller than the sum of its proper divisors (155175024).

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

71310480 is a wasteful number, since it uses less digits than its factorization.

71310480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7298 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 71310480 is about 8444.5532741525. The cubic root of 71310480 is about 414.6844846213.

Adding to 71310480 its reverse (8401317), we get a palindrome (79711797).

The spelling of 71310480 in words is "seventy-one million, three hundred ten thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 7247 9840 14494 21741 28988 36235 43482 57976 72470 86964 108705 115952 144940 173928 217410 289880 297127 347856 434820 579760 594254 869640 891381 1188508 1485635 1739280 1782762 2377016 2971270 3565524 4456905 4754032 5942540 7131048 8913810 11885080 14262096 17827620 23770160 35655240 71310480