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13660160 = 21252329
BaseRepresentation
bin110100000111…
…000000000000
3221201000012212
4310013000000
511444111120
61204441252
7224052353
oct64070000
927630185
1013660160
117790098
1246a9228
132aa3847
141b5829a
1512ec6c5
hexd07000

13660160 has 104 divisors (see below), whose sum is σ = 35385120. Its totient is φ = 5046272.

The previous prime is 13660159. The next prime is 13660193. The reversal of 13660160 is 6106631.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471026 + ... + 471054.

Almost surely, 213660160 is an apocalyptic number.

13660160 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 13660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692560).

13660160 is an abundant number, since it is smaller than the sum of its proper divisors (21724960).

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

13660160 is an equidigital number, since it uses as much as digits as its factorization.

13660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 13660160 is about 3695.9653678031. The cubic root of 13660160 is about 239.0480812213.

Adding to 13660160 its reverse (6106631), we get a palindrome (19766791).

The spelling of 13660160 in words is "thirteen million, six hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 128 145 160 184 230 232 256 290 320 368 460 464 512 580 640 667 736 920 928 1024 1160 1280 1334 1472 1840 1856 2048 2320 2560 2668 2944 3335 3680 3712 4096 4640 5120 5336 5888 6670 7360 7424 9280 10240 10672 11776 13340 14720 14848 18560 20480 21344 23552 26680 29440 29696 37120 42688 47104 53360 58880 59392 74240 85376 94208 106720 117760 118784 148480 170752 213440 235520 296960 341504 426880 471040 593920 683008 853760 1366016 1707520 2732032 3415040 6830080 13660160