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71421012 = 2232131747191
BaseRepresentation
bin1000100000111…
…00110001010100
311222101120012200
410100130301110
5121240433022
611030444500
71525032345
oct420346124
9158346180
1071421012
1137351733
121bb03730
1311a48570
1496b20cc
15640bbac
hex441cc54

71421012 has 144 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 20136960.

The previous prime is 71421011. The next prime is 71421013. The reversal of 71421012 is 21012417.

It is an interprime number because it is at equal distance from previous prime (71421011) and next prime (71421013).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71421011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373837 + ... + 374027.

It is an arithmetic number, because the mean of its divisors is an integer number (1467648).

Almost surely, 271421012 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 71421012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

71421012 is an abundant number, since it is smaller than the sum of its proper divisors (139920300).

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

71421012 is a wasteful number, since it uses less digits than its factorization.

71421012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 71421012 is about 8451.0953136265. The cubic root of 71421012 is about 414.8986291331.

Adding to 71421012 its reverse (21012417), we get a palindrome (92433429).

The spelling of 71421012 in words is "seventy-one million, four hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 47 51 52 68 78 94 102 117 141 153 156 188 191 204 221 234 282 306 382 423 442 468 564 573 611 612 663 764 799 846 884 1146 1222 1326 1598 1692 1719 1833 1989 2292 2397 2444 2483 2652 3196 3247 3438 3666 3978 4794 4966 5499 6494 6876 7191 7332 7449 7956 8977 9588 9741 9932 10387 10998 12988 14382 14898 17954 19482 20774 21996 22347 26931 28764 29223 29796 31161 35908 38964 41548 42211 44694 53862 58446 62322 80793 84422 89388 93483 107724 116701 116892 124644 126633 152609 161586 168844 186966 233402 253266 305218 323172 350103 373932 379899 457827 466804 506532 610436 700206 759798 915654 1050309 1373481 1400412 1519596 1831308 1983917 2100618 2746962 3967834 4201236 5493924 5951751 7935668 11903502 17855253 23807004 35710506 71421012