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71193096 = 233213233307
BaseRepresentation
bin1000011111001…
…01001000001000
311221221222120100
410033211020020
5121211134341
611021525400
71523063022
oct417451010
9157858510
1071193096
1137206477
121ba13860
13119988c0
149653012
1563b43b6
hex43e5208

71193096 has 96 divisors (see below), whose sum is σ = 216740160. Its totient is φ = 20946816.

The previous prime is 71193077. The next prime is 71193103. The reversal of 71193096 is 69039117.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71193096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19875 + ... + 23181.

It is an arithmetic number, because the mean of its divisors is an integer number (2257710).

Almost surely, 271193096 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 71193096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108370080).

71193096 is an abundant number, since it is smaller than the sum of its proper divisors (145547064).

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

71193096 is a wasteful number, since it uses less digits than its factorization.

71193096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 71193096 is about 8437.6001327392. The cubic root of 71193096 is about 414.4568226320.

The spelling of 71193096 in words is "seventy-one million, one hundred ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 2392 2691 3307 3588 5382 6614 7176 9921 10764 13228 19842 21528 26456 29763 39684 42991 59526 76061 79368 85982 119052 128973 152122 171964 228183 238104 257946 304244 343928 386919 456366 515892 608488 684549 773838 912732 988793 1031784 1369098 1547676 1825464 1977586 2738196 2966379 3095352 3955172 5476392 5932758 7910344 8899137 11865516 17798274 23731032 35596548 71193096