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71045040 = 243511171583
BaseRepresentation
bin1000011110000…
…00111110110000
311221200110110210
410033000332300
5121141420130
611014424120
71521605253
oct417007660
9157613423
1071045040
1137115210
121b962040
13119463b1
14961509a
1563855b0
hex43c0fb0

71045040 has 160 divisors (see below), whose sum is σ = 254555136. Its totient is φ = 16199680.

The previous prime is 71045033. The next prime is 71045063. The reversal of 71045040 is 4054017.

It is a junction number, because it is equal to n+sod(n) for n = 71044998 and 71045016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44089 + ... + 45671.

Almost surely, 271045040 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 71045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127277568).

71045040 is an abundant number, since it is smaller than the sum of its proper divisors (183510096).

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

71045040 is a wasteful number, since it uses less digits than its factorization.

71045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 71045040 is about 8428.8219817481. The cubic root of 71045040 is about 414.1693162608.

Adding to 71045040 its reverse (4054017), we get a palindrome (75099057).

The spelling of 71045040 in words is "seventy-one million, forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 33 34 40 44 48 51 55 60 66 68 80 85 88 102 110 120 132 136 165 170 176 187 204 220 240 255 264 272 330 340 374 408 440 510 528 561 660 680 748 816 880 935 1020 1122 1320 1360 1496 1583 1870 2040 2244 2640 2805 2992 3166 3740 4080 4488 4749 5610 6332 7480 7915 8976 9498 11220 12664 14960 15830 17413 18996 22440 23745 25328 26911 31660 34826 37992 44880 47490 52239 53822 63320 69652 75984 80733 87065 94980 104478 107644 126640 134555 139304 161466 174130 189960 208956 215288 261195 269110 278608 296021 322932 348260 379920 403665 417912 430576 522390 538220 592042 645864 696520 807330 835824 888063 1044780 1076440 1184084 1291728 1393040 1480105 1614660 1776126 2089560 2152880 2368168 2960210 3229320 3552252 4179120 4440315 4736336 5920420 6458640 7104504 8880630 11840840 14209008 17761260 23681680 35522520 71045040