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2129280 = 27351109
BaseRepresentation
bin1000000111110110000000
311000011211020
420013312000
51021114110
6113345440
724045546
oct10076600
94004736
102129280
11122483a
12868280
1359723a
143d5d96
152c0d70
hex207d80

2129280 has 64 divisors (see below), whose sum is σ = 6793200. Its totient is φ = 567296.

The previous prime is 2129279. The next prime is 2129291. The reversal of 2129280 is 829212.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2129280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1366 + ... + 2474.

22129280 is an apocalyptic number.

2129280 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 2129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396600).

2129280 is an abundant number, since it is smaller than the sum of its proper divisors (4663920).

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

2129280 is a wasteful number, since it uses less digits than its factorization.

2129280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2129280 is about 1459.2052631484. The cubic root of 2129280 is about 128.6503360423.

The spelling of 2129280 in words is "two million, one hundred twenty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1109 1920 2218 3327 4436 5545 6654 8872 11090 13308 16635 17744 22180 26616 33270 35488 44360 53232 66540 70976 88720 106464 133080 141952 177440 212928 266160 354880 425856 532320 709760 1064640 2129280