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13217076 = 2232715171
BaseRepresentation
bin110010011010…
…110100110100
3220212111102100
4302122310310
511340421301
61151142100
7220225515
oct62326464
926774370
1013217076
117508204
124514930
132979c72
141a80a0c
151261286
hexc9ad34

13217076 has 36 divisors (see below), whose sum is σ = 33886944. Its totient is φ = 4342800.

The previous prime is 13217033. The next prime is 13217089. The reversal of 13217076 is 67071231.

13217076 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 tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30 + ... + 5141.

It is an arithmetic number, because the mean of its divisors is an integer number (941304).

Almost surely, 213217076 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 13217076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16943472).

13217076 is an abundant number, since it is smaller than the sum of its proper divisors (20669868).

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

13217076 is a wasteful number, since it uses less digits than its factorization.

13217076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5252 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 13217076 is about 3635.5296725512. The cubic root of 13217076 is about 236.4350158993.

The spelling of 13217076 in words is "thirteen million, two hundred seventeen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 5171 10342 15513 20684 31026 46539 62052 93078 186156 367141 734282 1101423 1468564 2202846 3304269 4405692 6608538 13217076