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13002780 = 2235783373
BaseRepresentation
bin110001100110…
…100000011100
3220110121110110
4301212200130
511312042110
61142410020
7215343660
oct61464034
926417413
1013002780
1173811aa
124430910
13290356b
141a268a0
15121ca20
hexc6681c

13002780 has 96 divisors (see below), whose sum is σ = 42223104. Its totient is φ = 2928384.

The previous prime is 13002779. The next prime is 13002791. The reversal of 13002780 is 8720031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 34674 + ... + 35046.

It is an arithmetic number, because the mean of its divisors is an integer number (439824).

Almost surely, 213002780 is an apocalyptic number.

13002780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13002780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21111552).

13002780 is an abundant number, since it is smaller than the sum of its proper divisors (29220324).

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

13002780 is a wasteful number, since it uses less digits than its factorization.

13002780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 13002780 is about 3605.9367714923. The cubic root of 13002780 is about 235.1502283735.

The spelling of 13002780 in words is "thirteen million, two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 373 415 420 498 581 746 830 996 1119 1162 1245 1492 1660 1743 1865 2238 2324 2490 2611 2905 3486 3730 4476 4980 5222 5595 5810 6972 7460 7833 8715 10444 11190 11620 13055 15666 17430 22380 26110 30959 31332 34860 39165 52220 61918 78330 92877 123836 154795 156660 185754 216713 309590 371508 433426 464385 619180 650139 866852 928770 1083565 1300278 1857540 2167130 2600556 3250695 4334260 6501390 13002780