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2188480 = 2657977
BaseRepresentation
bin1000010110010011000000
311010012000211
420112103000
51030012410
6114523504
724413260
oct10262300
94105024
102188480
111265268
12896594
135b8178
1440d7a0
152d368a
hex2164c0

2188480 has 56 divisors (see below), whose sum is σ = 5961888. Its totient is φ = 749568.

The previous prime is 2188463. The next prime is 2188481. The reversal of 2188480 is 848812.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (2188481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1752 + ... + 2728.

22188480 is an apocalyptic number.

2188480 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 2188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980944).

2188480 is an abundant number, since it is smaller than the sum of its proper divisors (3773408).

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

2188480 is an equidigital number, since it uses as much as digits as its factorization.

2188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 2188480 is about 1479.3512091454. The cubic root of 2188480 is about 129.8317349634.

The spelling of 2188480 in words is "two million, one hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 977 1120 1954 2240 3908 4885 6839 7816 9770 13678 15632 19540 27356 31264 34195 39080 54712 62528 68390 78160 109424 136780 156320 218848 273560 312640 437696 547120 1094240 2188480