[go: up one dir, main page]

Search a number
-
+
16411936 = 251730169
BaseRepresentation
bin111110100110…
…110100100000
31010212210221111
4332212310200
513200140221
61343433104
7256333132
oct76466440
933783844
1016411936
11929a592
1255b5794
133528208
142273052
151692be1
hexfa6d20

16411936 has 24 divisors (see below), whose sum is σ = 34212780. Its totient is φ = 7723008.

The previous prime is 16411921. The next prime is 16411937. The reversal of 16411936 is 63911461.

16411936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15840400 + 571536 = 3980^2 + 756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16411898 and 16411907.

It is not an unprimeable number, because it can be changed into a prime (16411937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14541 + ... + 15628.

Almost surely, 216411936 is an apocalyptic number.

16411936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16411936 is an abundant number, since it is smaller than the sum of its proper divisors (17800844).

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

16411936 is a wasteful number, since it uses less digits than its factorization.

16411936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30196 (or 30188 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 16411936 is about 4051.1647707789. The cubic root of 16411936 is about 254.1284406306.

It can be divided in two parts, 164 and 11936, that added together give a square (12100 = 1102).

The spelling of 16411936 in words is "sixteen million, four hundred eleven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 30169 60338 120676 241352 482704 512873 965408 1025746 2051492 4102984 8205968 16411936