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500125320 = 233353111489
BaseRepresentation
bin11101110011110…
…100111010001000
31021212001222222000
4131303310322020
52011013002240
6121343231000
715251665212
oct3563647210
91255058860
10500125320
11237342612
1211b5a8460
137c7ca156
144a5c95b2
152dd90430
hex1dcf4e88

500125320 has 128 divisors (see below), whose sum is σ = 1673568000. Its totient is φ = 132848640.

The previous prime is 500125291. The next prime is 500125333. The reversal of 500125320 is 23521005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 500125293 and 500125302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335136 + ... + 336624.

It is an arithmetic number, because the mean of its divisors is an integer number (13074750).

Almost surely, 2500125320 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 500125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836784000).

500125320 is an abundant number, since it is smaller than the sum of its proper divisors (1173442680).

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

500125320 is a wasteful number, since it uses less digits than its factorization.

500125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 500125320 is about 22363.4818398209. The cubic root of 500125320 is about 793.7668314781.

Adding to 500125320 its reverse (23521005), we get a palindrome (523646325).

The spelling of 500125320 in words is "five hundred million, one hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 311 360 540 622 933 1080 1244 1489 1555 1866 2488 2799 2978 3110 3732 4467 4665 5598 5956 6220 7445 7464 8397 8934 9330 11196 11912 12440 13401 13995 14890 16794 17868 18660 22335 22392 26802 27990 29780 33588 35736 37320 40203 41985 44670 53604 55980 59560 67005 67176 80406 83970 89340 107208 111960 134010 160812 167940 178680 201015 268020 321624 335880 402030 463079 536040 804060 926158 1389237 1608120 1852316 2315395 2778474 3704632 4167711 4630790 5556948 6946185 8335422 9261580 11113896 12503133 13892370 16670844 18523160 20838555 25006266 27784740 33341688 41677110 50012532 55569480 62515665 83354220 100025064 125031330 166708440 250062660 500125320