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73364980 = 22513972909
BaseRepresentation
bin1000101111101…
…11010111110100
312010001022211111
410113313113310
5122240134410
611140244404
71550410033
oct427672764
9163038744
1073364980
113845a217
12206a0704
1312279340
149a5a71a
156692b8a
hex45f75f4

73364980 has 48 divisors (see below), whose sum is σ = 167685840. Its totient is φ = 26800128.

The previous prime is 73364971. The next prime is 73364987. The reversal of 73364980 is 8946337.

It can be written as a sum of positive squares in 8 ways, for example, as 535824 + 72829156 = 732^2 + 8534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73364987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23766 + ... + 26674.

It is an arithmetic number, because the mean of its divisors is an integer number (3493455).

Almost surely, 273364980 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 73364980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83842920).

73364980 is an abundant number, since it is smaller than the sum of its proper divisors (94320860).

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

73364980 is a wasteful number, since it uses less digits than its factorization.

73364980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 73364980 is about 8565.3359537148. The cubic root of 73364980 is about 418.6292804166.

The spelling of 73364980 in words is "seventy-three million, three hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 97 130 194 260 388 485 970 1261 1940 2522 2909 5044 5818 6305 11636 12610 14545 25220 29090 37817 58180 75634 151268 189085 282173 378170 564346 756340 1128692 1410865 2821730 3668249 5643460 7336498 14672996 18341245 36682490 73364980