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13402112 = 215409
BaseRepresentation
bin110011001000…
…000000000000
3221012220020112
4303020000000
511412331422
61155130452
7221626133
oct63100000
927186215
1013402112
117624229
1245a3a28
132a13259
141acc21a
15129aee2
hexcc8000

13402112 has 32 divisors (see below), whose sum is σ = 26869350. Its totient is φ = 6684672.

The previous prime is 13402099. The next prime is 13402133. The reversal of 13402112 is 21120431.

It can be written as a sum of positive squares in only one way, i.e., 8667136 + 4734976 = 2944^2 + 2176^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32564 + ... + 32972.

Almost surely, 213402112 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 13402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434675).

13402112 is an abundant number, since it is smaller than the sum of its proper divisors (13467238).

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

13402112 is an frugal number, since it uses more digits than its factorization.

13402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 13402112 is about 3660.8895093952. The cubic root of 13402112 is about 237.5332518540.

Adding to 13402112 its reverse (21120431), we get a palindrome (34522543).

The spelling of 13402112 in words is "thirteen million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 409 512 818 1024 1636 2048 3272 4096 6544 8192 13088 16384 26176 32768 52352 104704 209408 418816 837632 1675264 3350528 6701056 13402112