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71386536 = 233131743313
BaseRepresentation
bin1000100000101…
…00010110101000
311222022210220210
410100110112220
5121233332121
611030021120
71524530004
oct420242650
9158283823
1071386536
1137328841
121baa77a0
1311a35970
1496a3704
156401876
hex44145a8

71386536 has 128 divisors (see below), whose sum is σ = 208897920. Its totient is φ = 20127744.

The previous prime is 71386529. The next prime is 71386543. The reversal of 71386536 is 63568317.

71386536 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (71386529) and next prime (71386543).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 71386494 and 71386503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227916 + ... + 228228.

It is an arithmetic number, because the mean of its divisors is an integer number (1632015).

Almost surely, 271386536 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 71386536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104448960).

71386536 is an abundant number, since it is smaller than the sum of its proper divisors (137511384).

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

71386536 is a wasteful number, since it uses less digits than its factorization.

71386536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 71386536 is about 8449.0553318108. The cubic root of 71386536 is about 414.8318591124.

The spelling of 71386536 in words is "seventy-one million, three hundred eighty-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 43 51 52 68 78 86 102 104 129 136 156 172 204 221 258 312 313 344 408 442 516 559 626 663 731 884 939 1032 1118 1252 1326 1462 1677 1768 1878 2193 2236 2504 2652 2924 3354 3756 4069 4386 4472 5304 5321 5848 6708 7512 8138 8772 9503 10642 12207 13416 13459 15963 16276 17544 19006 21284 24414 26918 28509 31926 32552 38012 40377 42568 48828 53836 57018 63852 69173 76024 80754 97656 107672 114036 127704 138346 161508 174967 207519 228072 228803 276692 323016 349934 415038 457606 524901 553384 686409 699868 830076 915212 1049802 1372818 1399736 1660152 1830424 2099604 2745636 2974439 4199208 5491272 5948878 8923317 11897756 17846634 23795512 35693268 71386536