Search a number
-
+
73243680 = 2535331461
BaseRepresentation
bin1000101110110…
…01110000100000
312002211011102220
410113121300200
5122222244210
611133511040
71546363266
oct427316040
9162734386
1073243680
1138387074
1220642480
1312236073
149a28436
15666bc70
hex45d9c20

73243680 has 96 divisors (see below), whose sum is σ = 231916608. Its totient is φ = 19430400.

The previous prime is 73243657. The next prime is 73243699. The reversal of 73243680 is 8634237.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 158650 + ... + 159110.

It is an arithmetic number, because the mean of its divisors is an integer number (2415798).

Almost surely, 273243680 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 73243680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115958304).

73243680 is an abundant number, since it is smaller than the sum of its proper divisors (158672928).

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

73243680 is a wasteful number, since it uses less digits than its factorization.

73243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 73243680 is about 8558.2521580052. The cubic root of 73243680 is about 418.3984357481.

The spelling of 73243680 in words is "seventy-three million, two hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 331 461 480 662 922 993 1324 1383 1655 1844 1986 2305 2648 2766 3310 3688 3972 4610 4965 5296 5532 6620 6915 7376 7944 9220 9930 10592 11064 13240 13830 14752 15888 18440 19860 22128 26480 27660 31776 36880 39720 44256 52960 55320 73760 79440 110640 152591 158880 221280 305182 457773 610364 762955 915546 1220728 1525910 1831092 2288865 2441456 3051820 3662184 4577730 4882912 6103640 7324368 9155460 12207280 14648736 18310920 24414560 36621840 73243680