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500213120 = 27511411733
BaseRepresentation
bin11101110100001…
…010010110000000
31021212020110101212
4131310022112000
52011023304440
6121345145252
715252512201
oct3564122600
91255213355
10500213120
112373a2580
1211b62b228
137c82b0c4
144a60d5a8
152ddab465
hex1dd0a580

500213120 has 128 divisors (see below), whose sum is σ = 1337122080. Its totient is φ = 177356800.

The previous prime is 500213107. The next prime is 500213137. The reversal of 500213120 is 21312005.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 500213095 and 500213104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287774 + ... + 289506.

Almost surely, 2500213120 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 500213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668561040).

500213120 is an abundant number, since it is smaller than the sum of its proper divisors (836908960).

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

500213120 is a wasteful number, since it uses less digits than its factorization.

500213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 500213120 is about 22365.4447753672. Note that the first 3 decimals coincide. The cubic root of 500213120 is about 793.8132789364.

Adding to 500213120 its reverse (21312005), we get a palindrome (521525125).

The spelling of 500213120 in words is "five hundred million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 128 160 164 176 205 220 320 328 352 410 440 451 640 656 704 820 880 902 1312 1408 1640 1733 1760 1804 2255 2624 3280 3466 3520 3608 4510 5248 6560 6932 7040 7216 8665 9020 13120 13864 14432 17330 18040 19063 26240 27728 28864 34660 36080 38126 55456 57728 69320 71053 72160 76252 95315 110912 138640 142106 144320 152504 190630 221824 277280 284212 288640 305008 355265 381260 554560 568424 610016 710530 762520 781583 1109120 1136848 1220032 1421060 1525040 1563166 2273696 2440064 2842120 3050080 3126332 3907915 4547392 5684240 6100160 6252664 7815830 9094784 11368480 12200320 12505328 15631660 22736960 25010656 31263320 45473920 50021312 62526640 100042624 125053280 250106560 500213120