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13747104 = 253372273
BaseRepresentation
bin110100011100…
…001110100000
3221212102111000
4310130032200
512004401404
61210352000
7224564010
oct64341640
927772430
1013747104
11783a448
12472b600
132b042a7
141b7bc40
151318339
hexd1c3a0

13747104 has 96 divisors (see below), whose sum is σ = 45843840. Its totient is φ = 3926016.

The previous prime is 13747103. The next prime is 13747109. The reversal of 13747104 is 40174731.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13747103) 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, 4912 + ... + 7184.

It is an arithmetic number, because the mean of its divisors is an integer number (477540).

Almost surely, 213747104 is an apocalyptic number.

13747104 is a gapful number since it is divisible by the number (14) 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 13747104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22921920).

13747104 is an abundant number, since it is smaller than the sum of its proper divisors (32096736).

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

13747104 is a wasteful number, since it uses less digits than its factorization.

13747104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 13747104 is about 3707.7087264239. The cubic root of 13747104 is about 239.5541723365.

The spelling of 13747104 in words is "thirteen million, seven hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 2273 3024 4546 6048 6819 9092 13638 15911 18184 20457 27276 31822 36368 40914 47733 54552 61371 63644 72736 81828 95466 109104 122742 127288 143199 163656 190932 218208 245484 254576 286398 327312 381864 429597 490968 509152 572796 654624 763728 859194 981936 1145592 1527456 1718388 1963872 2291184 3436776 4582368 6873552 13747104