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71733740 = 225132191117
BaseRepresentation
bin1000100011010…
…01000111101100
311222222110012012
410101221013230
5121330434430
611041300352
71530504161
oct421510754
9158873165
1071733740
1137545691
12200346b8
1311b27a00
149754068
15646e695
hex44691ec

71733740 has 72 divisors (see below), whose sum is σ = 171858960. Its totient is φ = 25069824.

The previous prime is 71733737. The next prime is 71733821. The reversal of 71733740 is 4733717.

It is a junction number, because it is equal to n+sod(n) for n = 71733697 and 71733706.

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, 63662 + ... + 64778.

It is an arithmetic number, because the mean of its divisors is an integer number (2386930).

Almost surely, 271733740 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 71733740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85929480).

71733740 is an abundant number, since it is smaller than the sum of its proper divisors (100125220).

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

71733740 is a wasteful number, since it uses less digits than its factorization.

71733740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 32.

The square root of 71733740 is about 8469.5773212127. The cubic root of 71733740 is about 415.5033134631.

The spelling of 71733740 in words is "seventy-one million, seven hundred thirty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 169 190 247 260 338 380 494 676 845 988 1117 1235 1690 2234 2470 3211 3380 4468 4940 5585 6422 11170 12844 14521 16055 21223 22340 29042 32110 42446 58084 64220 72605 84892 106115 145210 188773 212230 275899 290420 377546 424460 551798 755092 943865 1103596 1379495 1887730 2758990 3586687 3775460 5517980 7173374 14346748 17933435 35866870 71733740