Search a number
-
+
73489080 = 2335789983
BaseRepresentation
bin1000110000101…
…01101010111000
312010021122001210
410120111222320
5122303122310
611143043120
71551434610
oct430255270
9163248053
1073489080
1138534485
12207404a0
13122c0982
149a8da40
1566b9820
hex4615ab8

73489080 has 128 divisors (see below), whose sum is σ = 255052800. Its totient is φ = 16591872.

The previous prime is 73489069. The next prime is 73489081. The reversal of 73489080 is 8098437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73489081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74269 + ... + 75251.

It is an arithmetic number, because the mean of its divisors is an integer number (1992600).

Almost surely, 273489080 is an apocalyptic number.

73489080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73489080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127526400).

73489080 is an abundant number, since it is smaller than the sum of its proper divisors (181563720).

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

73489080 is a wasteful number, since it uses less digits than its factorization.

73489080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 73489080 is about 8572.5772087512. The cubic root of 73489080 is about 418.8651905572.

The spelling of 73489080 in words is "seventy-three million, four hundred eighty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 89 105 120 140 168 178 210 267 280 356 420 445 534 623 712 840 890 983 1068 1246 1335 1780 1869 1966 2136 2492 2670 2949 3115 3560 3738 3932 4915 4984 5340 5898 6230 6881 7476 7864 9345 9830 10680 11796 12460 13762 14745 14952 18690 19660 20643 23592 24920 27524 29490 34405 37380 39320 41286 55048 58980 68810 74760 82572 87487 103215 117960 137620 165144 174974 206430 262461 275240 349948 412860 437435 524922 612409 699896 825720 874870 1049844 1224818 1312305 1749740 1837227 2099688 2449636 2624610 3062045 3499480 3674454 4899272 5249220 6124090 7348908 9186135 10498440 12248180 14697816 18372270 24496360 36744540 73489080