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13932270 = 2335114691
BaseRepresentation
bin110101001001…
…011011101110
3222012211111000
4311021123232
512031313040
61214341130
7226264602
oct65113356
928184430
1013932270
117956580
1247ba7a6
132b6a661
141bc9502
151353130
hexd496ee

13932270 has 64 divisors (see below), whose sum is σ = 40538880. Its totient is φ = 3376800.

The previous prime is 13932229. The next prime is 13932283. The reversal of 13932270 is 7223931.

13932270 is a `hidden beast` number, since 1 + 393 + 2 + 270 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (633420).

Almost surely, 213932270 is an apocalyptic number.

13932270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13932270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269440).

13932270 is an abundant number, since it is smaller than the sum of its proper divisors (26606610).

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

13932270 is a wasteful number, since it uses less digits than its factorization.

13932270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 13932270 is about 3732.5956116354. The cubic root of 13932270 is about 240.6249338281.

It can be divided in two parts, 1393 and 2270, that added together give a palindrome (3663).

The spelling of 13932270 in words is "thirteen million, nine hundred thirty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 4691 9382 14073 23455 28146 42219 46910 51601 70365 84438 103202 126657 140730 154803 211095 253314 258005 309606 422190 464409 516010 633285 774015 928818 1266570 1393227 1548030 2322045 2786454 4644090 6966135 13932270