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13365066 = 23111337421
BaseRepresentation
bin110010111110…
…111101001010
3221011000102110
4302332331022
511410140231
61154243150
7221413131
oct62767512
927130373
1013365066
1175a9410
1245864b6
1329cc430
141abc918
151290046
hexcbef4a

13365066 has 64 divisors (see below), whose sum is σ = 32328576. Its totient is φ = 3628800.

The previous prime is 13365031. The next prime is 13365067. The reversal of 13365066 is 66056331.

It is a super-4 number, since 4×133650664 (a number of 30 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (13365067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31536 + ... + 31956.

It is an arithmetic number, because the mean of its divisors is an integer number (505134).

Almost surely, 213365066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13365066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16164288).

13365066 is an abundant number, since it is smaller than the sum of its proper divisors (18963510).

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

13365066 is a wasteful number, since it uses less digits than its factorization.

13365066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487.

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 13365066 is about 3655.8263087844. The cubic root of 13365066 is about 237.3141874433.

It can be divided in two parts, 133650 and 66, that multiplied together give a square (8820900 = 29702).

The spelling of 13365066 in words is "thirteen million, three hundred sixty-five thousand, sixty-six".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 143 222 286 407 421 429 481 814 842 858 962 1221 1263 1443 2442 2526 2886 4631 5291 5473 9262 10582 10946 13893 15577 15873 16419 27786 31154 31746 32838 46731 60203 93462 120406 171347 180609 202501 342694 361218 405002 514041 607503 1028082 1215006 2227511 4455022 6682533 13365066