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71530641 = 3372134159
BaseRepresentation
bin1000100001101…
…11100010010001
311222121010121000
410100313202101
5121302440031
611033052213
71526000100
oct420674221
9158533530
1071530641
1137417036
121bb57069
1311a86430
149700037
15642e3e6
hex4437891

71530641 has 48 divisors (see below), whose sum is σ = 132787200. Its totient is φ = 37721376.

The previous prime is 71530637. The next prime is 71530673. The reversal of 71530641 is 14603517.

71530641 is a `hidden beast` number, since 7 + 15 + 3 + 0 + 641 = 666.

It is not a de Polignac number, because 71530641 - 22 = 71530637 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (71530601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15120 + ... + 19278.

It is an arithmetic number, because the mean of its divisors is an integer number (2766400).

Almost surely, 271530641 is an apocalyptic number.

It is an amenable number.

71530641 is a deficient number, since it is larger than the sum of its proper divisors (61256559).

71530641 is a wasteful number, since it uses less digits than its factorization.

71530641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 71530641 is about 8457.5789088840. The cubic root of 71530641 is about 415.1108060436.

The spelling of 71530641 in words is "seventy-one million, five hundred thirty thousand, six hundred forty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 4159 5733 12477 17199 29113 37431 54067 87339 112293 162201 203791 262017 378469 486603 611373 786051 1135407 1459809 1834119 2649283 3406221 5502357 7947849 10218663 23843547 71530641