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16040916 = 22365501
BaseRepresentation
bin111101001100…
…001111010100
31010011222000000
4331030033110
513101302131
61331451300
7253226343
oct75141724
933158000
1016040916
119066861
125456b30
133428388
1421b7b5a
15161cce6
hexf4c3d4

16040916 has 42 divisors (see below), whose sum is σ = 42095802. Its totient is φ = 5346000.

The previous prime is 16040909. The next prime is 16040917. The reversal of 16040916 is 61904061.

It can be written as a sum of positive squares in only one way, i.e., 15968016 + 72900 = 3996^2 + 270^2 .

It is a super-2 number, since 2×160409162 = 514621972238112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 16040916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16040917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 166 + ... + 5666.

It is an arithmetic number, because the mean of its divisors is an integer number (1002281).

Almost surely, 216040916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16040916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047901).

16040916 is an abundant number, since it is smaller than the sum of its proper divisors (26054886).

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

16040916 is an equidigital number, since it uses as much as digits as its factorization.

16040916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5506 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 16040916 is about 4005.1112344104. Note that the first 3 decimals coincide. The cubic root of 16040916 is about 252.1988226837.

Adding to 16040916 its reverse (61904061), we get a palindrome (77944977).

The spelling of 16040916 in words is "sixteen million, forty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 5501 11002 16503 22004 33006 49509 66012 99018 148527 198036 297054 445581 594108 891162 1336743 1782324 2673486 4010229 5346972 8020458 16040916