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2870480 = 24553677
BaseRepresentation
bin1010111100110011010000
312101211120002
422330303100
51213323410
6141305132
733253514
oct12746320
95354502
102870480
1116906a8
12b651a8
13796712
1454a144
153ba7a5
hex2bccd0

2870480 has 40 divisors (see below), whose sum is σ = 6809832. Its totient is φ = 1124864.

The previous prime is 2870473. The next prime is 2870513. The reversal of 2870480 is 840782.

2870480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1449616 + 1420864 = 1204^2 + 1192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3902 + ... + 4578.

22870480 is an apocalyptic number.

2870480 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 2870480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404916).

2870480 is an abundant number, since it is smaller than the sum of its proper divisors (3939352).

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

2870480 is a wasteful number, since it uses less digits than its factorization.

2870480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2870480 is about 1694.2490962075. The cubic root of 2870480 is about 142.1187923489.

The spelling of 2870480 in words is "two million, eight hundred seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 677 848 1060 1354 2120 2708 3385 4240 5416 6770 10832 13540 27080 35881 54160 71762 143524 179405 287048 358810 574096 717620 1435240 2870480