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71351040 = 2835171093
BaseRepresentation
bin1000100000010…
…11101100000000
311222021000020010
410100023230000
5121231213130
611025144520
71524321345
oct420135400
9158230203
1071351040
1137304102
121ba8b140
1311a22767
1496947cc
1563e60b0
hex440bb00

71351040 has 144 divisors (see below), whose sum is σ = 241502688. Its totient is φ = 17891328.

The previous prime is 71350999. The next prime is 71351041. The reversal of 71351040 is 4015317.

It is a junction number, because it is equal to n+sod(n) for n = 71350998 and 71351016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71351041) 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, 64734 + ... + 65826.

It is an arithmetic number, because the mean of its divisors is an integer number (1677102).

Almost surely, 271351040 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 71351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120751344).

71351040 is an abundant number, since it is smaller than the sum of its proper divisors (170151648).

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

71351040 is a wasteful number, since it uses less digits than its factorization.

71351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 71351040 is about 8446.9544807581. The cubic root of 71351040 is about 414.7630911824.

Adding to 71351040 its reverse (4015317), we get a palindrome (75366357).

The spelling of 71351040 in words is "seventy-one million, three hundred fifty-one thousand, forty".

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 1093 1280 1360 1632 1920 2040 2176 2186 2720 3264 3279 3840 4080 4352 4372 5440 5465 6528 6558 8160 8744 10880 10930 13056 13116 16320 16395 17488 18581 21760 21860 26232 32640 32790 34976 37162 43720 52464 55743 65280 65580 69952 74324 87440 92905 104928 111486 131160 139904 148648 174880 185810 209856 222972 262320 278715 279808 297296 349760 371620 419712 445944 524640 557430 594592 699520 743240 839424 891888 1049280 1114860 1189184 1399040 1486480 1783776 2098560 2229720 2378368 2972960 3567552 4197120 4459440 4756736 5945920 7135104 8918880 11891840 14270208 17837760 23783680 35675520 71351040