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2976480 = 253351353
BaseRepresentation
bin1011010110101011100000
312121012222000
423112223200
51230221410
6143444000
734204533
oct13265340
95535860
102976480
111753301
12bb6600
13802a40
14576a1a
153dbdc0
hex2d6ae0

2976480 has 192 divisors, whose sum is σ = 11430720. Its totient is φ = 718848.

The previous prime is 2976437. The next prime is 2976481. The reversal of 2976480 is 846792.

2976480 is a `hidden beast` number, since 2 + 9 + 7 + 648 + 0 = 666.

2976480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56134 + ... + 56186.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

22976480 is an apocalyptic number.

2976480 is a gapful number since it is divisible by the number (20) 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 2976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715360).

2976480 is an abundant number, since it is smaller than the sum of its proper divisors (8454240).

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

2976480 is a wasteful number, since it uses less digits than its factorization.

2976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2976480 is about 1725.2478082873. The cubic root of 2976480 is about 143.8470598444.

The spelling of 2976480 in words is "two million, nine hundred seventy-six thousand, four hundred eighty".