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71536140 = 2232513191609
BaseRepresentation
bin1000100001110…
…00111000001100
311222121102010200
410100320320030
5121303124030
611033133500
71526022114
oct420707014
9158542120
1071536140
1137420185
121bb5a290
1311a88aa0
149702044
156430d60
hex4438e0c

71536140 has 144 divisors (see below), whose sum is σ = 246136800. Its totient is φ = 16671744.

The previous prime is 71536139. The next prime is 71536147. The reversal of 71536140 is 4163517.

It is not an unprimeable number, because it can be changed into a prime (71536147) 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, 43656 + ... + 45264.

Almost surely, 271536140 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 71536140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123068400).

71536140 is an abundant number, since it is smaller than the sum of its proper divisors (174600660).

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

71536140 is a wasteful number, since it uses less digits than its factorization.

71536140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1651 counting only the distinct ones).

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

The square root of 71536140 is about 8457.9039956717. The cubic root of 71536140 is about 415.1214431440.

Adding to 71536140 its reverse (4163517), we get a palindrome (75699657).

The spelling of 71536140 in words is "seventy-one million, five hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1609 1710 2223 2340 2470 2964 3218 3420 3705 4446 4827 4940 6436 7410 8045 8892 9654 11115 14481 14820 16090 19308 20917 22230 24135 28962 30571 32180 41834 44460 48270 57924 61142 62751 72405 83668 91713 96540 104585 122284 125502 144810 152855 183426 188253 209170 251004 275139 289620 305710 313755 366852 376506 397423 418340 458565 550278 611420 627510 753012 794846 917130 941265 1100556 1192269 1255020 1375695 1589692 1834260 1882530 1987115 2384538 2751390 3576807 3765060 3974230 4769076 5502780 5961345 7153614 7948460 11922690 14307228 17884035 23845380 35768070 71536140