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13147974 = 233724969
BaseRepresentation
bin110010001001…
…111101000110
3220201222122000
4302021331012
511331213344
61145450130
7216520200
oct62117506
926658560
1013147974
1174702a4
1244a0946
132954688
141a63770
15124aa69
hexc89f46

13147974 has 48 divisors (see below), whose sum is σ = 33994800. Its totient is φ = 3755808.

The previous prime is 13147949. The next prime is 13147997. The reversal of 13147974 is 47974131.

13147974 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162 + ... + 5130.

It is an arithmetic number, because the mean of its divisors is an integer number (708225).

Almost surely, 213147974 is an apocalyptic number.

13147974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13147974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997400).

13147974 is an abundant number, since it is smaller than the sum of its proper divisors (20846826).

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

13147974 is a wasteful number, since it uses less digits than its factorization.

13147974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4981 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 13147974 is about 3626.0135134883. The cubic root of 13147974 is about 236.0222496499.

The spelling of 13147974 in words is "thirteen million, one hundred forty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 4969 9938 14907 29814 34783 44721 69566 89442 104349 134163 208698 243481 268326 313047 486962 626094 730443 939141 1460886 1878282 2191329 4382658 6573987 13147974