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13288704 = 28311313
BaseRepresentation
bin110010101100…
…010100000000
3221000010200020
4302230110000
511400214304
61152453440
7220644402
oct62542400
927003606
1013288704
117557000
12454a280
1329a3750
141a9cb72
1512775d9
hexcac500

13288704 has 144 divisors (see below), whose sum is σ = 41893824. Its totient is φ = 3717120.

The previous prime is 13288697. The next prime is 13288721. The reversal of 13288704 is 40788231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1022202 + ... + 1022214.

Almost surely, 213288704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20946912).

13288704 is an abundant number, since it is smaller than the sum of its proper divisors (28605120).

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

13288704 is an equidigital number, since it uses as much as digits as its factorization.

13288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 13288704 is about 3645.3674711886. The cubic root of 13288704 is about 236.8613549318.

The spelling of 13288704 in words is "thirteen million, two hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 121 128 132 143 156 176 192 208 242 256 264 286 312 352 363 384 416 429 484 528 572 624 704 726 768 832 858 968 1056 1144 1248 1331 1408 1452 1573 1664 1716 1936 2112 2288 2496 2662 2816 2904 3146 3328 3432 3872 3993 4224 4576 4719 4992 5324 5808 6292 6864 7744 7986 8448 9152 9438 9984 10648 11616 12584 13728 15488 15972 17303 18304 18876 21296 23232 25168 27456 30976 31944 34606 36608 37752 42592 46464 50336 51909 54912 63888 69212 75504 85184 92928 100672 103818 109824 127776 138424 151008 170368 201344 207636 255552 276848 302016 340736 402688 415272 511104 553696 604032 830544 1022208 1107392 1208064 1661088 2214784 3322176 4429568 6644352 13288704