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13992384 = 263729359
BaseRepresentation
bin110101011000…
…000111000000
3222022212221110
4311120013000
512040224014
61215523320
7226635060
oct65300700
928285843
1013992384
11799775a
124829540
132b8bb23
141c033a0
151365d59
hexd581c0

13992384 has 112 divisors (see below), whose sum is σ = 43891200. Its totient is φ = 3849216.

The previous prime is 13992383. The next prime is 13992403. The reversal of 13992384 is 48329931.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13992383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38797 + ... + 39155.

Almost surely, 213992384 is an apocalyptic number.

13992384 is a gapful number since it is divisible by the number (14) 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 13992384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21945600).

13992384 is an abundant number, since it is smaller than the sum of its proper divisors (29898816).

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

13992384 is a wasteful number, since it uses less digits than its factorization.

13992384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 13992384 is about 3740.6395175157. The cubic root of 13992384 is about 240.9705145771.

The spelling of 13992384 in words is "thirteen million, nine hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 359 406 448 464 609 672 696 718 812 928 1077 1218 1344 1392 1436 1624 1856 2154 2436 2513 2784 2872 3248 4308 4872 5026 5568 5744 6496 7539 8616 9744 10052 10411 11488 12992 15078 17232 19488 20104 20822 22976 30156 31233 34464 38976 40208 41644 60312 62466 68928 72877 80416 83288 120624 124932 145754 160832 166576 218631 241248 249864 291508 333152 437262 482496 499728 583016 666304 874524 999456 1166032 1749048 1998912 2332064 3498096 4664128 6996192 13992384