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13194480 = 2435134229
BaseRepresentation
bin110010010101…
…010011110000
3220211100102110
4302111103300
511334210410
61150445320
7220102605
oct62252360
926740373
1013194480
1174a2232
124503840
13296c8b0
141a766ac
151259720
hexc954f0

13194480 has 80 divisors (see below), whose sum is σ = 44059680. Its totient is φ = 3247104.

The previous prime is 13194443. The next prime is 13194481. The reversal of 13194480 is 8449131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13194481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1006 + ... + 5234.

It is an arithmetic number, because the mean of its divisors is an integer number (550746).

Almost surely, 213194480 is an apocalyptic number.

13194480 is a gapful number since it is divisible by the number (10) 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 13194480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22029840).

13194480 is an abundant number, since it is smaller than the sum of its proper divisors (30865200).

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

13194480 is a wasteful number, since it uses less digits than its factorization.

13194480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13194480 is about 3632.4206804829. The cubic root of 13194480 is about 236.3002020915.

The spelling of 13194480 in words is "thirteen million, one hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 4229 8458 12687 16916 21145 25374 33832 42290 50748 54977 63435 67664 84580 101496 109954 126870 164931 169160 202992 219908 253740 274885 329862 338320 439816 507480 549770 659724 824655 879632 1014960 1099540 1319448 1649310 2199080 2638896 3298620 4398160 6597240 13194480