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2064480 = 2535111723
BaseRepresentation
bin111111000000001100000
310212212221020
413320001200
51012030410
6112125440
723355615
oct7700140
93785836
102064480
111190090
12836880
135738b2
143ba50c
152aba70
hex1f8060

2064480 has 192 divisors, whose sum is σ = 7838208. Its totient is φ = 450560.

The previous prime is 2064449. The next prime is 2064487. The reversal of 2064480 is 844602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2064480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064487) 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, 89749 + ... + 89771.

It is an arithmetic number, because the mean of its divisors is an integer number (40824).

22064480 is an apocalyptic number.

2064480 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 2064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104).

2064480 is an abundant number, since it is smaller than the sum of its proper divisors (5773728).

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

2064480 is a wasteful number, since it uses less digits than its factorization.

2064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2064480 is about 1436.8298437881. The cubic root of 2064480 is about 127.3318043608.

The spelling of 2064480 in words is "two million, sixty-four thousand, four hundred eighty".