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13478220 = 22325719563
BaseRepresentation
bin110011011010…
…100101001100
3221100202122100
4303122211030
511422300340
61200515100
7222364050
oct63324514
927322570
1013478220
117676428
12461ba90
132a3baa2
141b0bc60
1512b3830
hexcda94c

13478220 has 144 divisors (see below), whose sum is σ = 49271040. Its totient is φ = 2913408.

The previous prime is 13478203. The next prime is 13478251. The reversal of 13478220 is 2287431.

13478220 is digitally balanced in base 2 and base 4, because in such bases 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 47 ways as a sum of consecutive naturals, for example, 23659 + ... + 24221.

It is an arithmetic number, because the mean of its divisors is an integer number (342160).

Almost surely, 213478220 is an apocalyptic number.

13478220 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 13478220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24635520).

13478220 is an abundant number, since it is smaller than the sum of its proper divisors (35792820).

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

13478220 is a wasteful number, since it uses less digits than its factorization.

13478220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13478220 is about 3671.2695351881. The cubic root of 13478220 is about 237.9820385193.

The spelling of 13478220 in words is "thirteen million, four hundred seventy-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 563 570 630 665 684 798 855 1126 1140 1197 1260 1330 1596 1689 1710 1995 2252 2394 2660 2815 3378 3420 3941 3990 4788 5067 5630 5985 6756 7882 7980 8445 10134 10697 11260 11823 11970 15764 16890 19705 20268 21394 23646 23940 25335 32091 33780 35469 39410 42788 47292 50670 53485 59115 64182 70938 74879 78820 96273 101340 106970 118230 128364 141876 149758 160455 177345 192546 213940 224637 236460 299516 320910 354690 374395 385092 449274 481365 641820 673911 709380 748790 898548 962730 1123185 1347822 1497580 1925460 2246370 2695644 3369555 4492740 6739110 13478220