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71254080 = 263452749
BaseRepresentation
bin1000011111101…
…00000001000000
311222002002020000
410033310001000
5121220112310
611023120000
71523435562
oct417640100
9158062200
1071254080
1137248277
121ba43000
13119ba5a1
14966b332
1563c74c0
hex43f4040

71254080 has 140 divisors (see below), whose sum is σ = 253555500. Its totient is φ = 18994176.

The previous prime is 71254033. The next prime is 71254093. The reversal of 71254080 is 8045217.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 54997056 = 4032^2 + 7416^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24546 + ... + 27294.

Almost surely, 271254080 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 71254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126777750).

71254080 is an abundant number, since it is smaller than the sum of its proper divisors (182301420).

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

71254080 is a wasteful number, since it uses less digits than its factorization.

71254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2759 counting only the distinct ones).

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

The square root of 71254080 is about 8441.2131829495. The cubic root of 71254080 is about 414.5751300841.

Adding to 71254080 its reverse (8045217), we get a palindrome (79299297).

The spelling of 71254080 in words is "seventy-one million, two hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2749 2880 3240 4320 5184 5498 6480 8247 8640 10996 12960 13745 16494 21992 24741 25920 27490 32988 41235 43984 49482 54980 65976 74223 82470 87968 98964 109960 123705 131952 148446 164940 175936 197928 219920 222669 247410 263904 296892 329880 371115 395856 439840 445338 494820 527808 593784 659760 742230 791712 879680 890676 989640 1113345 1187568 1319520 1484460 1583424 1781352 1979280 2226690 2375136 2639040 2968920 3562704 3958560 4453380 4750272 5937840 7125408 7917120 8906760 11875680 14250816 17813520 23751360 35627040 71254080