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13050016 = 2571723149
BaseRepresentation
bin110001110010…
…000010100000
3220120000020221
4301302002200
511320100031
61143412424
7215631460
oct61620240
926500227
1013050016
117403741
124454114
13291bc05
141a39ba0
15122ba11
hexc720a0

13050016 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 5001216.

The previous prime is 13049987. The next prime is 13050043. The reversal of 13050016 is 61005031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87510 + ... + 87658.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 213050016 is an apocalyptic number.

13050016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13050016 is the 2086-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13050016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

13050016 is an abundant number, since it is smaller than the sum of its proper divisors (19609184).

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

13050016 is a wasteful number, since it uses less digits than its factorization.

13050016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 13050016 is about 3612.4805881831. The cubic root of 13050016 is about 235.4346325009.

Adding to 13050016 its reverse (61005031), we get a palindrome (74055047).

The spelling of 13050016 in words is "thirteen million, fifty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 68 92 112 119 136 149 161 184 224 238 272 298 322 368 391 476 544 596 644 736 782 952 1043 1192 1288 1564 1904 2086 2384 2533 2576 2737 3128 3427 3808 4172 4768 5066 5152 5474 6256 6854 8344 10132 10948 12512 13708 16688 17731 20264 21896 23989 27416 33376 35462 40528 43792 47978 54832 58259 70924 81056 87584 95956 109664 116518 141848 191912 233036 283696 383824 407813 466072 567392 767648 815626 932144 1631252 1864288 3262504 6525008 13050016