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13204240 = 2457171973
BaseRepresentation
bin110010010111…
…101100010000
3220211211210221
4302113230100
511340013430
61151002424
7220143220
oct62275420
926754727
1013204240
1174a95a5
124509414
13297417a
141a7a080
15125c57a
hexc97b10

13204240 has 160 divisors (see below), whose sum is σ = 39640320. Its totient is φ = 3981312.

The previous prime is 13204237. The next prime is 13204241. The reversal of 13204240 is 4240231.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204241) 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 31 ways as a sum of consecutive naturals, for example, 180844 + ... + 180916.

It is an arithmetic number, because the mean of its divisors is an integer number (247752).

Almost surely, 213204240 is an apocalyptic number.

13204240 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 13204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820160).

13204240 is an abundant number, since it is smaller than the sum of its proper divisors (26436080).

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

13204240 is a wasteful number, since it uses less digits than its factorization.

13204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 13204240 is about 3633.7638888623. The cubic root of 13204240 is about 236.3584517421.

Adding to 13204240 its reverse (4240231), we get a palindrome (17444471).

The spelling of 13204240 in words is "thirteen million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 19 20 28 34 35 38 40 56 68 70 73 76 80 85 95 112 119 133 136 140 146 152 170 190 238 266 272 280 292 304 323 340 365 380 476 511 532 560 584 595 646 665 680 730 760 952 1022 1064 1168 1190 1241 1292 1330 1360 1387 1460 1520 1615 1904 2044 2128 2261 2380 2482 2555 2584 2660 2774 2920 3230 4088 4522 4760 4964 5110 5168 5320 5548 5840 6205 6460 6935 8176 8687 9044 9520 9709 9928 10220 10640 11096 11305 12410 12920 13870 17374 18088 19418 19856 20440 22192 22610 23579 24820 25840 27740 34748 36176 38836 40880 43435 45220 47158 48545 49640 55480 69496 77672 86870 90440 94316 97090 99280 110960 117895 138992 155344 165053 173740 180880 188632 194180 235790 330106 347480 377264 388360 471580 660212 694960 776720 825265 943160 1320424 1650530 1886320 2640848 3301060 6602120 13204240