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5212080 = 2433519127
BaseRepresentation
bin10011111000011110110000
3100210210122000
4103320132300
52313241310
6303414000
762205366
oct23703660
910723560
105212080
112a3aa05
1218b4300
131106493
14999636
156ce4c0
hex4f87b0

5212080 has 160 divisors (see below), whose sum is σ = 19046400. Its totient is φ = 1306368.

The previous prime is 5212069. The next prime is 5212087. The reversal of 5212080 is 802125.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5212087) 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, 40977 + ... + 41103.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

Almost surely, 25212080 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 5212080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523200).

5212080 is an abundant number, since it is smaller than the sum of its proper divisors (13834320).

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

5212080 is a wasteful number, since it uses less digits than its factorization.

5212080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5212080 is about 2282.9980289085. The cubic root of 5212080 is about 173.3818733222.

It can be divided in two parts, 521 and 2080, that added together give a square (2601 = 512).

The spelling of 5212080 in words is "five million, two hundred twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 127 135 144 152 171 180 190 216 228 240 254 270 285 304 342 360 380 381 432 456 508 513 540 570 635 684 720 760 762 855 912 1016 1026 1080 1140 1143 1270 1368 1520 1524 1710 1905 2032 2052 2160 2280 2286 2413 2540 2565 2736 3048 3420 3429 3810 4104 4560 4572 4826 5080 5130 5715 6096 6840 6858 7239 7620 8208 9144 9652 10160 10260 11430 12065 13680 13716 14478 15240 17145 18288 19304 20520 21717 22860 24130 27432 28956 30480 34290 36195 38608 41040 43434 45720 48260 54864 57912 65151 68580 72390 86868 91440 96520 108585 115824 130302 137160 144780 173736 193040 217170 260604 274320 289560 325755 347472 434340 521208 579120 651510 868680 1042416 1303020 1737360 2606040 5212080