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12484710 = 23257219149
BaseRepresentation
bin101111101000…
…000001100110
3212111021210200
4233220001212
511144002320
61123331330
7211055400
oct57500146
925437720
1012484710
117057a47
124220b46
132781804
14192db70
151169290
hexbe8066

12484710 has 144 divisors (see below), whose sum is σ = 40014000. Its totient is φ = 2685312.

The previous prime is 12484669. The next prime is 12484727. The reversal of 12484710 is 1748421.

It is a super-3 number, since 3×124847103 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83716 + ... + 83864.

It is an arithmetic number, because the mean of its divisors is an integer number (277875).

Almost surely, 212484710 is an apocalyptic number.

12484710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12484710 is the 2235-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12484710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20007000).

12484710 is an abundant number, since it is smaller than the sum of its proper divisors (27529290).

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

12484710 is a wasteful number, since it uses less digits than its factorization.

12484710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 12484710 is about 3533.3709117499. The cubic root of 12484710 is about 231.9847765477.

The spelling of 12484710 in words is "twelve million, four hundred eighty-four thousand, seven hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 149 171 190 210 245 266 285 294 298 315 342 399 441 447 490 570 630 665 735 745 798 855 882 894 931 1043 1197 1330 1341 1470 1490 1710 1862 1995 2086 2205 2235 2394 2682 2793 2831 3129 3990 4410 4470 4655 5215 5586 5662 5985 6258 6705 7301 8379 8493 9310 9387 10430 11970 13410 13965 14155 14602 15645 16758 16986 18774 19817 21903 25479 27930 28310 31290 36505 39634 41895 42465 43806 46935 50958 59451 65709 73010 83790 84930 93870 99085 109515 118902 127395 131418 138719 178353 198170 219030 254790 277438 297255 328545 356706 416157 594510 657090 693595 832314 891765 1248471 1387190 1783530 2080785 2496942 4161570 6242355 12484710