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16105056 = 25311101151
BaseRepresentation
bin111101011011…
…111001100000
31010022012222120
4331123321200
513110330211
61333104240
7253614342
oct75337140
933265876
1016105056
1190aaa70
125488080
13344b626
1421d3292
151631d06
hexf5be60

16105056 has 96 divisors (see below), whose sum is σ = 46884096. Its totient is φ = 4800000.

The previous prime is 16105051. The next prime is 16105073. The reversal of 16105056 is 65050161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16105051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106581 + ... + 106731.

It is an arithmetic number, because the mean of its divisors is an integer number (488376).

Almost surely, 216105056 is an apocalyptic number.

16105056 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 16105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442048).

16105056 is an abundant number, since it is smaller than the sum of its proper divisors (30779040).

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

16105056 is a wasteful number, since it uses less digits than its factorization.

16105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 16105056 is about 4013.1105143018. The cubic root of 16105056 is about 252.5345167335.

It can be divided in two parts, 1610 and 5056, that added together give a palindrome (6666).

The spelling of 16105056 in words is "sixteen million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 151 176 202 264 302 303 352 404 453 528 604 606 808 906 1056 1111 1208 1212 1616 1661 1812 2222 2416 2424 3232 3322 3333 3624 4444 4832 4848 4983 6644 6666 7248 8888 9696 9966 13288 13332 14496 15251 17776 19932 26576 26664 30502 35552 39864 45753 53152 53328 61004 79728 91506 106656 122008 159456 167761 183012 244016 335522 366024 488032 503283 671044 732048 1006566 1342088 1464096 2013132 2684176 4026264 5368352 8052528 16105056