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13099296 = 2537101193
BaseRepresentation
bin110001111110…
…000100100000
3220122111212010
4301332010200
511323134141
61144432520
7216225240
oct61760440
926574763
1013099296
117437771
124478740
132938482
141a4db20
15123b416
hexc7e120

13099296 has 96 divisors (see below), whose sum is σ = 39892608. Its totient is φ = 3686400.

The previous prime is 13099291. The next prime is 13099319. The reversal of 13099296 is 69299031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13099291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67776 + ... + 67968.

It is an arithmetic number, because the mean of its divisors is an integer number (415548).

Almost surely, 213099296 is an apocalyptic number.

13099296 is a gapful number since it is divisible by the number (16) 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 13099296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19946304).

13099296 is an abundant number, since it is smaller than the sum of its proper divisors (26793312).

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

13099296 is a wasteful number, since it uses less digits than its factorization.

13099296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 13099296 is about 3619.2949589665. The cubic root of 13099296 is about 235.7306128530.

The spelling of 13099296 in words is "thirteen million, ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 193 202 224 303 336 386 404 579 606 672 707 772 808 1158 1212 1351 1414 1544 1616 2121 2316 2424 2702 2828 3088 3232 4053 4242 4632 4848 5404 5656 6176 8106 8484 9264 9696 10808 11312 16212 16968 18528 19493 21616 22624 32424 33936 38986 43232 58479 64848 67872 77972 116958 129696 136451 155944 233916 272902 311888 409353 467832 545804 623776 818706 935664 1091608 1637412 1871328 2183216 3274824 4366432 6549648 13099296