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13738424 = 2372101347
BaseRepresentation
bin110100011010…
…000110111000
3221211222120112
4310122012320
512004112144
61210243452
7224526500
oct64320670
927758515
1013738424
117833977
124726588
132b0035b
141b78a00
15131599e
hexd1a1b8

13738424 has 48 divisors (see below), whose sum is σ = 30349080. Its totient is φ = 5812800.

The previous prime is 13738423. The next prime is 13738441. The reversal of 13738424 is 42483731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13738423) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39419 + ... + 39765.

Almost surely, 213738424 is an apocalyptic number.

13738424 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 13738424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174540).

13738424 is an abundant number, since it is smaller than the sum of its proper divisors (16610656).

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

13738424 is a wasteful number, since it uses less digits than its factorization.

13738424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 13738424 is about 3706.5380073594. The cubic root of 13738424 is about 239.5037430970.

The spelling of 13738424 in words is "thirteen million, seven hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 347 392 404 694 707 808 1388 1414 2429 2776 2828 4858 4949 5656 9716 9898 17003 19432 19796 34006 35047 39592 68012 70094 136024 140188 245329 280376 490658 981316 1717303 1962632 3434606 6869212 13738424