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13770060 = 22351947257
BaseRepresentation
bin110100100001…
…110101001100
3221220120222020
4310201311030
512011120220
61211050140
7225020643
oct64416514
927816866
1013770060
117855717
124740950
132b11885
141b8635a
151320040
hexd21d4c

13770060 has 96 divisors (see below), whose sum is σ = 41610240. Its totient is φ = 3391488.

The previous prime is 13770049. The next prime is 13770061. The reversal of 13770060 is 6007731.

It is a super-2 number, since 2×137700602 = 379229104807200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13770060.

It is not an unprimeable number, because it can be changed into a prime (13770061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53452 + ... + 53708.

It is an arithmetic number, because the mean of its divisors is an integer number (433440).

Almost surely, 213770060 is an apocalyptic number.

13770060 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 13770060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805120).

13770060 is an abundant number, since it is smaller than the sum of its proper divisors (27840180).

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

13770060 is a wasteful number, since it uses less digits than its factorization.

13770060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 13770060 is about 3710.8031475679. The cubic root of 13770060 is about 239.6874403425.

Adding to 13770060 its reverse (6007731), we get a palindrome (19777791).

The spelling of 13770060 in words is "thirteen million, seven hundred seventy thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 47 57 60 76 94 95 114 141 188 190 228 235 257 282 285 380 470 514 564 570 705 771 893 940 1028 1140 1285 1410 1542 1786 2570 2679 2820 3084 3572 3855 4465 4883 5140 5358 7710 8930 9766 10716 12079 13395 14649 15420 17860 19532 24158 24415 26790 29298 36237 48316 48830 53580 58596 60395 72474 73245 97660 120790 144948 146490 181185 229501 241580 292980 362370 459002 688503 724740 918004 1147505 1377006 2295010 2754012 3442515 4590020 6885030 13770060