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71135540 = 2257539587
BaseRepresentation
bin1000011110101…
…11000100110100
311221212001121122
410033113010310
5121202314130
611020403112
71522433150
oct417270464
9157761548
1071135540
1137177203
121b9a6498
1311978648
14963a060
1563a22e5
hex43d7134

71135540 has 48 divisors (see below), whose sum is σ = 173964672. Its totient is φ = 23926656.

The previous prime is 71135513. The next prime is 71135543. The reversal of 71135540 is 4553117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71135543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2627 + ... + 12213.

It is an arithmetic number, because the mean of its divisors is an integer number (3624264).

Almost surely, 271135540 is an apocalyptic number.

71135540 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86982336).

71135540 is an abundant number, since it is smaller than the sum of its proper divisors (102829132).

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

71135540 is a wasteful number, since it uses less digits than its factorization.

71135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 71135540 is about 8434.1887576696. The cubic root of 71135540 is about 414.3451034275.

Adding to 71135540 its reverse (4553117), we get a palindrome (75688657).

The spelling of 71135540 in words is "seventy-one million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 9587 19174 38348 47935 67109 95870 134218 191740 268436 335545 508111 671090 1016222 1342180 2032444 2540555 3556777 5081110 7113554 10162220 14227108 17783885 35567770 71135540