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73070320 = 24559113137
BaseRepresentation
bin1000101101011…
…11011011110000
312002111100122011
410112233123300
5122201222240
611130052304
71545042001
oct426573360
9162440564
1073070320
11382788a4
122057a094
13121a519b
1499c11a8
1566356ea
hex45af6f0

73070320 has 80 divisors (see below), whose sum is σ = 175569120. Its totient is φ = 28270592.

The previous prime is 73070311. The next prime is 73070321. The reversal of 73070320 is 2307037.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 73070291 and 73070300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73070321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533292 + ... + 533428.

It is an arithmetic number, because the mean of its divisors is an integer number (2194614).

Almost surely, 273070320 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 73070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87784560).

73070320 is an abundant number, since it is smaller than the sum of its proper divisors (102498800).

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

73070320 is a wasteful number, since it uses less digits than its factorization.

73070320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 22.

The square root of 73070320 is about 8548.1179215076. The cubic root of 73070320 is about 418.0680734352.

Adding to 73070320 its reverse (2307037), we get a palindrome (75377357).

The spelling of 73070320 in words is "seventy-three million, seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 113 118 137 226 236 274 295 452 472 548 565 590 685 904 944 1096 1130 1180 1370 1808 2192 2260 2360 2740 4520 4720 5480 6667 8083 9040 10960 13334 15481 16166 26668 30962 32332 33335 40415 53336 61924 64664 66670 77405 80830 106672 123848 129328 133340 154810 161660 247696 266680 309620 323320 533360 619240 646640 913379 1238480 1826758 3653516 4566895 7307032 9133790 14614064 18267580 36535160 73070320