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13474872 = 23322379103
BaseRepresentation
bin110011011001…
…110000111000
3221100121001100
4303121300320
511422143442
61200451400
7222351225
oct63316070
927317040
1013474872
117673964
124619b60
132a3a3c8
141b0a94c
1512b284c
hexcd9c38

13474872 has 96 divisors (see below), whose sum is σ = 38937600. Its totient is φ = 4200768.

The previous prime is 13474861. The next prime is 13474873. The reversal of 13474872 is 27847431.

It is a happy number.

13474872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13474873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130773 + ... + 130875.

It is an arithmetic number, because the mean of its divisors is an integer number (405600).

Almost surely, 213474872 is an apocalyptic number.

13474872 is a gapful number since it is divisible by the number (12) 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 13474872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468800).

13474872 is an abundant number, since it is smaller than the sum of its proper divisors (25462728).

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

13474872 is a wasteful number, since it uses less digits than its factorization.

13474872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 210 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 13474872 is about 3670.8135338096. The cubic root of 13474872 is about 237.9623319149.

The spelling of 13474872 in words is "thirteen million, four hundred seventy-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 79 92 103 138 158 184 206 207 237 276 309 316 412 414 474 552 618 632 711 824 828 927 948 1236 1422 1656 1817 1854 1896 2369 2472 2844 3634 3708 4738 5451 5688 7107 7268 7416 8137 9476 10902 14214 14536 16274 16353 18952 21321 21804 24411 28428 32548 32706 42642 43608 48822 56856 65096 65412 73233 85284 97644 130824 146466 170568 187151 195288 292932 374302 561453 585864 748604 1122906 1497208 1684359 2245812 3368718 4491624 6737436 13474872