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71693580 = 22357211809
BaseRepresentation
bin1000100010111…
…11010100001100
311222220102002210
410101133110030
5121323143310
611040350420
71530246120
oct421372414
9158812083
1071693580
11375184a2
1220015410
1311b1264a
149743580
156462820
hex445f50c

71693580 has 96 divisors (see below), whose sum is σ = 230791680. Its totient is φ = 16289280.

The previous prime is 71693563. The next prime is 71693603. The reversal of 71693580 is 8539617.

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, 88216 + ... + 89024.

It is an arithmetic number, because the mean of its divisors is an integer number (2404080).

Almost surely, 271693580 is an apocalyptic number.

71693580 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71693580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115395840).

71693580 is an abundant number, since it is smaller than the sum of its proper divisors (159098100).

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

71693580 is a wasteful number, since it uses less digits than its factorization.

71693580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 71693580 is about 8467.2061507914. The cubic root of 71693580 is about 415.4257594045.

The spelling of 71693580 in words is "seventy-one million, six hundred ninety-three thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 420 422 633 809 844 1055 1266 1477 1618 2110 2427 2532 2954 3165 3236 4045 4220 4431 4854 5663 5908 6330 7385 8090 8862 9708 11326 12135 12660 14770 16180 16989 17724 22155 22652 24270 28315 29540 33978 44310 48540 56630 67956 84945 88620 113260 169890 170699 339780 341398 512097 682796 853495 1024194 1194893 1706990 2048388 2389786 2560485 3413980 3584679 4779572 5120970 5974465 7169358 10241940 11948930 14338716 17923395 23897860 35846790 71693580