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13365520 = 245729823
BaseRepresentation
bin110010111111…
…000100010000
3221011001001021
4302333010100
511410144040
61154245224
7221414350
oct62770420
927131037
1013365520
1175a9793
124586814
1329cc6bc
141abcb60
15129024a
hexcbf110

13365520 has 80 divisors (see below), whose sum is σ = 36783360. Its totient is φ = 4419072.

The previous prime is 13365509. The next prime is 13365529. The reversal of 13365520 is 2556331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13365529) 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 15 ways as a sum of consecutive naturals, for example, 15829 + ... + 16651.

It is an arithmetic number, because the mean of its divisors is an integer number (459792).

Almost surely, 213365520 is an apocalyptic number.

13365520 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 13365520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18391680).

13365520 is an abundant number, since it is smaller than the sum of its proper divisors (23417840).

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

13365520 is a wasteful number, since it uses less digits than its factorization.

13365520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 13365520 is about 3655.8884009225. Note that the first 3 decimals coincide. The cubic root of 13365520 is about 237.3168745337.

It can be divided in two parts, 1336 and 5520, that multiplied together give a triangular number (7374720 = T3840).

The spelling of 13365520 in words is "thirteen million, three hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 823 1015 1160 1624 1646 2030 2320 3248 3292 4060 4115 5761 6584 8120 8230 11522 13168 16240 16460 23044 23867 28805 32920 46088 47734 57610 65840 92176 95468 115220 119335 167069 190936 230440 238670 334138 381872 460880 477340 668276 835345 954680 1336552 1670690 1909360 2673104 3341380 6682760 13365520