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71129240 = 23571319541
BaseRepresentation
bin1000011110101…
…01100010011000
311221211201222022
410033111202120
5121202113430
611020314012
71522405610
oct417254230
9157751868
1071129240
11371724a6
121b9a2908
1311975810
149637a40
1563a04e5
hex43d5898

71129240 has 64 divisors (see below), whose sum is σ = 196983360. Its totient is φ = 22510080.

The previous prime is 71129231. The next prime is 71129243. The reversal of 71129240 is 4292117.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71129243) 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, 6131 + ... + 13410.

It is an arithmetic number, because the mean of its divisors is an integer number (3077865).

Almost surely, 271129240 is an apocalyptic number.

71129240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71129240 is an abundant number, since it is smaller than the sum of its proper divisors (125854120).

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

71129240 is a wasteful number, since it uses less digits than its factorization.

71129240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19572 (or 19568 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 71129240 is about 8433.8152694970. The cubic root of 71129240 is about 414.3328711396.

The spelling of 71129240 in words is "seventy-one million, one hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 19541 39082 78164 97705 136787 156328 195410 254033 273574 390820 508066 547148 683935 781640 1016132 1094296 1270165 1367870 1778231 2032264 2540330 2735740 3556462 5080660 5471480 7112924 8891155 10161320 14225848 17782310 35564620 71129240