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13803524 = 2271747617
BaseRepresentation
bin110100101010…
…000000000100
3221222021212122
4310222000010
512013203044
61211505112
7225220340
oct64520004
927867778
1013803524
117878879
124758198
132b23b87
141b94620
151329dee
hexd2a004

13803524 has 48 divisors (see below), whose sum is σ = 29901312. Its totient is φ = 5440512.

The previous prime is 13803499. The next prime is 13803547. The reversal of 13803524 is 42530831.

It is a junction number, because it is equal to n+sod(n) for n = 13803493 and 13803502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22064 + ... + 22680.

It is an arithmetic number, because the mean of its divisors is an integer number (622944).

Almost surely, 213803524 is an apocalyptic number.

13803524 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 13803524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14950656).

13803524 is an abundant number, since it is smaller than the sum of its proper divisors (16097788).

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

13803524 is a wasteful number, since it uses less digits than its factorization.

13803524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 13803524 is about 3715.3094083804. The cubic root of 13803524 is about 239.8814460766.

The spelling of 13803524 in words is "thirteen million, eight hundred three thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 47 68 94 119 188 238 329 476 617 658 799 1234 1316 1598 2468 3196 4319 5593 8638 10489 11186 17276 20978 22372 28999 41956 57998 73423 115996 146846 202993 293692 405986 492983 811972 985966 1971932 3450881 6901762 13803524