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71719368 = 23373147293
BaseRepresentation
bin1000100011001…
…01100111001000
311222221201110220
410101211213020
5121330004433
611041110040
71530414240
oct421454710
9158851426
1071719368
1137535906
1220028320
1311b212c6
14974cb20
15646a2b3
hex44659c8

71719368 has 128 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 19342080.

The previous prime is 71719309. The next prime is 71719391. The reversal of 71719368 is 86391717.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 244630 + ... + 244922.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 271719368 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 71719368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

71719368 is an abundant number, since it is smaller than the sum of its proper divisors (145040952).

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

71719368 is a wasteful number, since it uses less digits than its factorization.

71719368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 71719368 is about 8468.7288302318. The cubic root of 71719368 is about 415.4755626331.

The spelling of 71719368 in words is "seventy-one million, seven hundred nineteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 47 56 62 84 93 94 124 141 168 186 188 217 248 282 293 329 372 376 434 564 586 651 658 744 868 879 987 1128 1172 1302 1316 1457 1736 1758 1974 2051 2344 2604 2632 2914 3516 3948 4102 4371 5208 5828 6153 7032 7896 8204 8742 9083 10199 11656 12306 13771 16408 17484 18166 20398 24612 27249 27542 30597 34968 36332 40796 41313 49224 54498 55084 61194 63581 72664 81592 82626 96397 108996 110168 122388 127162 165252 190743 192794 217992 244776 254324 289191 330504 381486 385588 426901 508648 578382 762972 771176 853802 1156764 1280703 1525944 1707604 2313528 2561406 2988307 3415208 5122812 5976614 8964921 10245624 11953228 17929842 23906456 35859684 71719368