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11170016 = 2511132441
BaseRepresentation
bin101010100111…
…000011100000
3210000111101022
4222213003200
510324420031
61035225012
7163641434
oct52470340
923014338
1011170016
11633a220
1238a8168
1324112a0
1416aa9c4
15ea997b
hexaa70e0

11170016 has 48 divisors (see below), whose sum is σ = 25846128. Its totient is φ = 4684800.

The previous prime is 11170001. The next prime is 11170063. The reversal of 11170016 is 61007111.

It is a junction number, because it is equal to n+sod(n) for n = 11169976 and 11170003.

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, 3356 + ... + 5796.

It is an arithmetic number, because the mean of its divisors is an integer number (538461).

Almost surely, 211170016 is an apocalyptic number.

11170016 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 11170016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923064).

11170016 is an abundant number, since it is smaller than the sum of its proper divisors (14676112).

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

11170016 is a wasteful number, since it uses less digits than its factorization.

11170016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 11170016 is about 3342.1573870780. The cubic root of 11170016 is about 223.5379506379.

Adding to 11170016 its reverse (61007111), we get a palindrome (72177127).

The spelling of 11170016 in words is "eleven million, one hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 2441 4576 4882 9764 19528 26851 31733 39056 53702 63466 78112 107404 126932 214808 253864 349063 429616 507728 698126 859232 1015456 1396252 2792504 5585008 11170016