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13839012 = 2234112353
BaseRepresentation
bin110100110010…
…101010100100
3222001002120000
4310302222210
512020322022
61212341300
7225425655
oct64625244
928032500
1013839012
1178a2500
124774830
132b37085
141ba352c
1513356ac
hexd32aa4

13839012 has 90 divisors (see below), whose sum is σ = 39878454. Its totient is φ = 4181760.

The previous prime is 13838987. The next prime is 13839041. The reversal of 13839012 is 21093831.

It can be written as a sum of positive squares in only one way, i.e., 11329956 + 2509056 = 3366^2 + 1584^2 .

It is a super-2 number, since 2×138390122 = 383036506272288, which contains 22 as substring.

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

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 39028 + ... + 39380.

Almost surely, 213839012 is an apocalyptic number.

13839012 is a gapful number since it is divisible by the number (12) 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 13839012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19939227).

13839012 is an abundant number, since it is smaller than the sum of its proper divisors (26039442).

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

13839012 is a wasteful number, since it uses less digits than its factorization.

13839012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13839012 is about 3720.0822571551. The cubic root of 13839012 is about 240.0868435720.

The spelling of 13839012 in words is "thirteen million, eight hundred thirty-nine thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 353 363 396 484 594 706 726 891 1059 1089 1188 1412 1452 1782 2118 2178 3177 3267 3564 3883 4236 4356 6354 6534 7766 9531 9801 11649 12708 13068 15532 19062 19602 23298 28593 34947 38124 39204 42713 46596 57186 69894 85426 104841 114372 128139 139788 170852 209682 256278 314523 384417 419364 512556 629046 768834 1153251 1258092 1537668 2306502 3459753 4613004 6919506 13839012