[go: up one dir, main page]

Search a number
-
+
16085376 = 273213963
BaseRepresentation
bin111101010111…
…000110000000
31010021012222200
4331113012000
513104213001
61332433200
7253503066
oct75270600
933235880
1016085376
1190971aa
125478800
133442698
1421ca036
15162b086
hexf57180

16085376 has 48 divisors (see below), whose sum is σ = 46290660. Its totient is φ = 5361408.

The previous prime is 16085371. The next prime is 16085387. The reversal of 16085376 is 67358061.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×160853762 = 517478642122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16085376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16085371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5830 + ... + 8133.

Almost surely, 216085376 is an apocalyptic number.

16085376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16085376 is an abundant number, since it is smaller than the sum of its proper divisors (30205284).

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

16085376 is a wasteful number, since it uses less digits than its factorization.

16085376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13983 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 16085376 is about 4010.6578014086. The cubic root of 16085376 is about 252.4316110575.

It can be divided in two parts, 16085 and 376, that added together give a palindrome (16461).

The spelling of 16085376 in words is "sixteen million, eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 13963 27926 41889 55852 83778 111704 125667 167556 223408 251334 335112 446816 502668 670224 893632 1005336 1340448 1787264 2010672 2680896 4021344 5361792 8042688 16085376