Search a number
-
+
5414976 = 263271779
BaseRepresentation
bin10100101010000001000000
3101012002221200
4110222001000
52341234401
6312021200
764012050
oct24520100
911162850
105414976
113069396
121991800
131177938
14a0d560
1571e686
hex52a040

5414976 has 168 divisors, whose sum is σ = 19019520. Its totient is φ = 1437696.

The previous prime is 5414963. The next prime is 5414999. The reversal of 5414976 is 6794145.

5414976 is a `hidden beast` number, since 541 + 49 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×54149763 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 5414976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68505 + ... + 68583.

Almost surely, 25414976 is an apocalyptic number.

5414976 is a gapful number since it is divisible by the number (56) 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 5414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509760).

5414976 is an abundant number, since it is smaller than the sum of its proper divisors (13604544).

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

5414976 is a wasteful number, since it uses less digits than its factorization.

5414976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

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

The square root of 5414976 is about 2327.0100988178. The cubic root of 5414976 is about 175.6031001091.

The spelling of 5414976 in words is "five million, four hundred fourteen thousand, nine hundred seventy-six".