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5412960 = 253357179
BaseRepresentation
bin10100101001100001100000
3101012000012000
4110221201200
52341203320
6312004000
764003140
oct24514140
911160160
105412960
113067923
121990600
131176a47
14a0c920
1571dc90
hex529860

5412960 has 192 divisors, whose sum is σ = 21772800. Its totient is φ = 1230336.

The previous prime is 5412949. The next prime is 5412961. The reversal of 5412960 is 692145.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5412961) 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, 30151 + ... + 30329.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 25412960 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 5412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

5412960 is an abundant number, since it is smaller than the sum of its proper divisors (16359840).

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

5412960 is a wasteful number, since it uses less digits than its factorization.

5412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5412960 is about 2326.5768846097. The cubic root of 5412960 is about 175.5813050114.

The spelling of 5412960 in words is "five million, four hundred twelve thousand, nine hundred sixty".