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13938360 = 2335412833
BaseRepresentation
bin110101001010…
…111010111000
3222020010211120
4311022322320
512032011420
61214425240
7226321422
oct65127270
928203746
1013938360
117960107
124802220
132b70367
141bcb812
151354d40
hexd4aeb8

13938360 has 64 divisors (see below), whose sum is σ = 42850080. Its totient is φ = 3624960.

The previous prime is 13938349. The next prime is 13938361. The reversal of 13938360 is 6383931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13938361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3504 + ... + 6336.

Almost surely, 213938360 is an apocalyptic number.

13938360 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 13938360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21425040).

13938360 is an abundant number, since it is smaller than the sum of its proper divisors (28911720).

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

13938360 is a wasteful number, since it uses less digits than its factorization.

13938360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13938360 is about 3733.4113087095. The cubic root of 13938360 is about 240.6599889526.

The spelling of 13938360 in words is "thirteen million, nine hundred thirty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 2833 4920 5666 8499 11332 14165 16998 22664 28330 33996 42495 56660 67992 84990 113320 116153 169980 232306 339960 348459 464612 580765 696918 929224 1161530 1393836 1742295 2323060 2787672 3484590 4646120 6969180 13938360