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13020280 = 235731373
BaseRepresentation
bin110001101010…
…110001111000
3220111111110121
4301222301320
511313122110
61143023024
7215446000
oct61526170
926444417
1013020280
117393369
12443aa74
13290b510
141a2d000
151222cda
hexc6ac78

13020280 has 128 divisors (see below), whose sum is σ = 37296000. Its totient is φ = 4064256.

The previous prime is 13020251. The next prime is 13020307. The reversal of 13020280 is 8202031.

It is a happy number.

13020280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 178324 + ... + 178396.

It is an arithmetic number, because the mean of its divisors is an integer number (291375).

Almost surely, 213020280 is an apocalyptic number.

13020280 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 13020280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648000).

13020280 is an abundant number, since it is smaller than the sum of its proper divisors (24275720).

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

13020280 is a wasteful number, since it uses less digits than its factorization.

13020280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 13020280 is about 3608.3625095048. The cubic root of 13020280 is about 235.2556746508.

The spelling of 13020280 in words is "thirteen million, twenty thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 73 91 98 104 130 140 146 182 196 245 260 280 292 343 364 365 392 455 490 511 520 584 637 686 728 730 910 949 980 1022 1274 1372 1460 1715 1820 1898 1960 2044 2548 2555 2744 2920 3185 3430 3577 3640 3796 4088 4459 4745 5096 5110 6370 6643 6860 7154 7592 8918 9490 10220 12740 13286 13720 14308 17836 17885 18980 20440 22295 25039 25480 26572 28616 33215 35672 35770 37960 44590 46501 50078 53144 66430 71540 89180 93002 100156 125195 132860 143080 178360 186004 200312 232505 250390 265720 325507 372008 465010 500780 651014 930020 1001560 1302028 1627535 1860040 2604056 3255070 6510140 13020280