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13229520 = 2435199277
BaseRepresentation
bin110010011101…
…110111010000
3220220010111020
4302131313100
511341321040
61151315440
7220310013
oct62356720
926803436
1013229520
117516597
12451bb80
132982825
141a8537a
151264cd0
hexc9ddd0

13229520 has 80 divisors (see below), whose sum is σ = 41366400. Its totient is φ = 3497472.

The previous prime is 13229479. The next prime is 13229521. The reversal of 13229520 is 2592231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13229521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47622 + ... + 47898.

It is an arithmetic number, because the mean of its divisors is an integer number (517080).

Almost surely, 213229520 is an apocalyptic number.

13229520 is a gapful number since it is divisible by the number (10) 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 13229520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20683200).

13229520 is an abundant number, since it is smaller than the sum of its proper divisors (28136880).

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

13229520 is a wasteful number, since it uses less digits than its factorization.

13229520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13229520 is about 3637.2407124082. The cubic root of 13229520 is about 236.5091945465.

The spelling of 13229520 in words is "thirteen million, two hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 199 240 277 398 554 597 796 831 995 1108 1194 1385 1592 1662 1990 2216 2388 2770 2985 3184 3324 3980 4155 4432 4776 5540 5970 6648 7960 8310 9552 11080 11940 13296 15920 16620 22160 23880 33240 47760 55123 66480 110246 165369 220492 275615 330738 440984 551230 661476 826845 881968 1102460 1322952 1653690 2204920 2645904 3307380 4409840 6614760 13229520