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13110496 = 257107547
BaseRepresentation
bin110010000000…
…110011100000
3220200002012221
4302000303200
511324013441
61145000424
7216303010
oct62006340
926602187
1013110496
117445123
124483114
1329405b9
141a53c40
15123e8d1
hexc80ce0

13110496 has 48 divisors (see below), whose sum is σ = 29828736. Its totient is φ = 5556096.

The previous prime is 13110491. The next prime is 13110511. The reversal of 13110496 is 69401131.

It is a self number, because there is not a number n which added to its sum of digits gives 13110496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23695 + ... + 24241.

It is an arithmetic number, because the mean of its divisors is an integer number (621432).

Almost surely, 213110496 is an apocalyptic number.

13110496 is a gapful number since it is divisible by the number (16) 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 13110496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914368).

13110496 is an abundant number, since it is smaller than the sum of its proper divisors (16718240).

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

13110496 is a wasteful number, since it uses less digits than its factorization.

13110496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 13110496 is about 3620.8418910524. The cubic root of 13110496 is about 235.7977775506.

The spelling of 13110496 in words is "thirteen million, one hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 547 749 856 1094 1498 1712 2188 2996 3424 3829 4376 5992 7658 8752 11984 15316 17504 23968 30632 58529 61264 117058 122528 234116 409703 468232 819406 936464 1638812 1872928 3277624 6555248 13110496