Search a number
-
+
71045280 = 25325103479
BaseRepresentation
bin1000011110000…
…01000010100000
311221200110210200
410033001002200
5121141422110
611014425200
71521606045
oct417010240
9157613720
1071045280
1137115409
121b962200
1311946537
1496151cc
1563856c0
hex43c10a0

71045280 has 144 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 18722304.

The previous prime is 71045269. The next prime is 71045287. The reversal of 71045280 is 8254017.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71045287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148081 + ... + 148559.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 271045280 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 71045280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

71045280 is an abundant number, since it is smaller than the sum of its proper divisors (174261600).

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

71045280 is a wasteful number, since it uses less digits than its factorization.

71045280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 71045280 is about 8428.8362186010. The cubic root of 71045280 is about 414.1697826340.

Adding to 71045280 its reverse (8254017), we get a palindrome (79299297).

The spelling of 71045280 in words is "seventy-one million, forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 144 160 180 206 240 288 309 360 412 479 480 515 618 720 824 927 958 1030 1236 1437 1440 1545 1648 1854 1916 2060 2395 2472 2874 3090 3296 3708 3832 4120 4311 4635 4790 4944 5748 6180 7185 7416 7664 8240 8622 9270 9580 9888 11496 12360 14370 14832 15328 16480 17244 18540 19160 21555 22992 24720 28740 29664 34488 37080 38320 43110 45984 49337 49440 57480 68976 74160 76640 86220 98674 114960 137952 148011 148320 172440 197348 229920 246685 296022 344880 394696 444033 493370 592044 689760 740055 789392 888066 986740 1184088 1480110 1578784 1776132 1973480 2220165 2368176 2960220 3552264 3946960 4440330 4736352 5920440 7104528 7893920 8880660 11840880 14209056 17761320 23681760 35522640 71045280