Search a number
-
+
71733240 = 23325296871
BaseRepresentation
bin1000100011010…
…00111111111000
311222222102111200
410101220333320
5121330430430
611041254200
71530502545
oct421507770
9158872450
1071733240
1137545277
1220034360
1311b27707
149753bcc
15646e460
hex4468ff8

71733240 has 96 divisors (see below), whose sum is σ = 241207200. Its totient is φ = 18466560.

The previous prime is 71733229. The next prime is 71733247. The reversal of 71733240 is 4233717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71733247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7005 + ... + 13875.

It is an arithmetic number, because the mean of its divisors is an integer number (2512575).

Almost surely, 271733240 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 71733240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120603600).

71733240 is an abundant number, since it is smaller than the sum of its proper divisors (169473960).

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

71733240 is a wasteful number, since it uses less digits than its factorization.

71733240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 71733240 is about 8469.5478037496. The cubic root of 71733240 is about 415.5023480776.

Adding to 71733240 its reverse (4233717), we get a palindrome (75966957).

The spelling of 71733240 in words is "seventy-one million, seven hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 6871 10440 13742 20613 27484 34355 41226 54968 61839 68710 82452 103065 123678 137420 164904 199259 206130 247356 274840 309195 398518 412260 494712 597777 618390 797036 824520 996295 1195554 1236780 1594072 1793331 1992590 2391108 2473560 2988885 3586662 3985180 4782216 5977770 7173324 7970360 8966655 11955540 14346648 17933310 23911080 35866620 71733240