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71220480 = 2835171091
BaseRepresentation
bin1000011111010…
…11110100000000
311222000101010120
410033223310000
5121213023410
611022300240
71523235612
oct417536400
9158011116
1071220480
1137225001
121ba27680
13119a81c6
14965cdb2
1563bc570
hex43ebd00

71220480 has 144 divisors (see below), whose sum is σ = 241061184. Its totient is φ = 17858560.

The previous prime is 71220473. The next prime is 71220481. The reversal of 71220480 is 8402217.

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 71220480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71220481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64735 + ... + 65825.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 271220480 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 71220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120530592).

71220480 is an abundant number, since it is smaller than the sum of its proper divisors (169840704).

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

71220480 is a wasteful number, since it uses less digits than its factorization.

71220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 71220480 is about 8439.2227130228. Note that the first 3 decimals coincide. The cubic root of 71220480 is about 414.5099552690.

Adding to 71220480 its reverse (8402217), we get a palindrome (79622697).

The spelling of 71220480 in words is "seventy-one million, two hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1091 1280 1360 1632 1920 2040 2176 2182 2720 3264 3273 3840 4080 4352 4364 5440 5455 6528 6546 8160 8728 10880 10910 13056 13092 16320 16365 17456 18547 21760 21820 26184 32640 32730 34912 37094 43640 52368 55641 65280 65460 69824 74188 87280 92735 104736 111282 130920 139648 148376 174560 185470 209472 222564 261840 278205 279296 296752 349120 370940 418944 445128 523680 556410 593504 698240 741880 837888 890256 1047360 1112820 1187008 1396480 1483760 1780512 2094720 2225640 2374016 2967520 3561024 4189440 4451280 4748032 5935040 7122048 8902560 11870080 14244096 17805120 23740160 35610240 71220480