Search a number
-
+
73016240 = 24511219397
BaseRepresentation
bin1000101101000…
…10001110110000
312002101121110012
410112202032300
5122143004430
611124554052
71544425223
oct426421660
9162347405
1073016240
1138241200
1220552928
131218669b
1499a95ba
156624695
hex45a23b0

73016240 has 120 divisors (see below), whose sum is σ = 196914480. Its totient is φ = 25090560.

The previous prime is 73016231. The next prime is 73016243. The reversal of 73016240 is 4261037.

It is not an unprimeable number, because it can be changed into a prime (73016243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 183722 + ... + 184118.

It is an arithmetic number, because the mean of its divisors is an integer number (1640954).

Almost surely, 273016240 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 73016240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98457240).

73016240 is an abundant number, since it is smaller than the sum of its proper divisors (123898240).

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

73016240 is a wasteful number, since it uses less digits than its factorization.

73016240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 73016240 is about 8544.9540665822. The cubic root of 73016240 is about 417.9649093350.

Adding to 73016240 its reverse (4261037), we get a palindrome (77277277).

The spelling of 73016240 in words is "seventy-three million, sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 121 152 176 190 209 220 242 304 380 397 418 440 484 605 760 794 836 880 968 1045 1210 1520 1588 1672 1936 1985 2090 2299 2420 3176 3344 3970 4180 4367 4598 4840 6352 7543 7940 8360 8734 9196 9680 11495 15086 15880 16720 17468 18392 21835 22990 30172 31760 34936 36784 37715 43670 45980 48037 60344 69872 75430 82973 87340 91960 96074 120688 150860 165946 174680 183920 192148 240185 301720 331892 349360 384296 414865 480370 603440 663784 768592 829730 912703 960740 1327568 1659460 1825406 1921480 3318920 3650812 3842960 4563515 6637840 7301624 9127030 14603248 18254060 36508120 73016240