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13716416 = 267171801
BaseRepresentation
bin110100010100…
…101111000000
3221210212101102
4310110233000
512002411131
61205553532
7224405360
oct64245700
927725342
1013716416
11781938a
1247158a8
132ac332c
141b709a0
15130e1cb
hexd14bc0

13716416 has 56 divisors (see below), whose sum is σ = 32954976. Its totient is φ = 5529600.

The previous prime is 13716403. The next prime is 13716463. The reversal of 13716416 is 61461731.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6716 + ... + 8516.

Almost surely, 213716416 is an apocalyptic number.

13716416 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 13716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477488).

13716416 is an abundant number, since it is smaller than the sum of its proper divisors (19238560).

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

13716416 is a wasteful number, since it uses less digits than its factorization.

13716416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1827 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 13716416 is about 3703.5680093661. The cubic root of 13716416 is about 239.3757852983.

The spelling of 13716416 in words is "thirteen million, seven hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1801 1904 3602 3808 7204 7616 12607 14408 25214 28816 30617 50428 57632 61234 100856 115264 122468 201712 214319 244936 403424 428638 489872 806848 857276 979744 1714552 1959488 3429104 6858208 13716416