Search a number
-
+
5416719 = 3711131179
BaseRepresentation
bin10100101010011100001111
3101012012100020
4110222130033
52341313334
6312033223
764020120
oct24523417
911165306
105416719
11306a730
121992813
131178679
14a10047
1571ee49
hex52a70f

5416719 has 32 divisors (see below), whose sum is σ = 9123840. Its totient is φ = 2776800.

The previous prime is 5416717. The next prime is 5416721. The reversal of 5416719 is 9176145.

5416719 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5416717) and next prime (5416721).

It is not a de Polignac number, because 5416719 - 21 = 5416717 is a prime.

It is a super-3 number, since 3×54167193 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 5416719.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5416717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30172 + ... + 30350.

It is an arithmetic number, because the mean of its divisors is an integer number (285120).

Almost surely, 25416719 is an apocalyptic number.

5416719 is a deficient number, since it is larger than the sum of its proper divisors (3707121).

5416719 is a wasteful number, since it uses less digits than its factorization.

5416719 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331.

The product of its digits is 7560, while the sum is 33.

The square root of 5416719 is about 2327.3845836045. The cubic root of 5416719 is about 175.6219394273.

It can be divided in two parts, 541 and 6719, that added together give a triangular number (7260 = T120).

The spelling of 5416719 in words is "five million, four hundred sixteen thousand, seven hundred nineteen".

Divisors: 1 3 7 11 21 33 77 131 179 231 393 537 917 1253 1441 1969 2751 3759 4323 5907 10087 13783 23449 30261 41349 70347 164143 257939 492429 773817 1805573 5416719