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13764296 = 2372133773
BaseRepresentation
bin110100100000…
…011011001000
3221220022001202
4310200123020
512010424141
61211003332
7224665100
oct64403310
927808052
1013764296
117851357
124739548
132b0c070
141b84200
15131d49b
hexd206c8

13764296 has 96 divisors (see below), whose sum is σ = 33659640. Its totient is φ = 5225472.

The previous prime is 13764293. The next prime is 13764313. The reversal of 13764296 is 69246731.

It can be written as a sum of positive squares in 4 ways, for example, as 12348196 + 1416100 = 3514^2 + 1190^2 .

It is not an unprimeable number, because it can be changed into a prime (13764293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188516 + ... + 188588.

Almost surely, 213764296 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 13764296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829820).

13764296 is an abundant number, since it is smaller than the sum of its proper divisors (19895344).

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

13764296 is a wasteful number, since it uses less digits than its factorization.

13764296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 13764296 is about 3710.0264150003. The cubic root of 13764296 is about 239.6539921411.

The spelling of 13764296 in words is "thirteen million, seven hundred sixty-four thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 37 49 52 56 73 74 91 98 104 146 148 182 196 259 292 296 364 392 481 511 518 584 637 728 949 962 1022 1036 1274 1813 1898 1924 2044 2072 2548 2701 3367 3577 3626 3796 3848 4088 5096 5402 6643 6734 7154 7252 7592 10804 13286 13468 14308 14504 18907 21608 23569 26572 26936 28616 35113 37814 46501 47138 53144 70226 75628 93002 94276 132349 140452 151256 186004 188552 245791 264698 280904 372008 491582 529396 983164 1058792 1720537 1966328 3441074 6882148 13764296