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13249104 = 24311231091
BaseRepresentation
bin110010100010…
…101001010000
3220221010100120
4302202221100
511342432404
61151550240
7220421061
oct62425120
926833316
1013249104
11752a280
12452b380
13298b70b
141a8c568
15126a9d9
hexca2a50

13249104 has 80 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 3836800.

The previous prime is 13249051. The next prime is 13249111. The reversal of 13249104 is 40194231.

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

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, 11599 + ... + 12689.

Almost surely, 213249104 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 13249104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

13249104 is an abundant number, since it is smaller than the sum of its proper divisors (25748400).

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

13249104 is a wasteful number, since it uses less digits than its factorization.

13249104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13249104 is about 3639.9318674942. The cubic root of 13249104 is about 236.6258405629.

The spelling of 13249104 in words is "thirteen million, two hundred forty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1091 1104 1518 2024 2182 3036 3273 4048 4364 6072 6546 8728 12001 12144 13092 17456 24002 25093 26184 36003 48004 50186 52368 72006 75279 96008 100372 144012 150558 192016 200744 276023 288024 301116 401488 552046 576048 602232 828069 1104092 1204464 1656138 2208184 3312276 4416368 6624552 13249104