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2123280 = 24335983
BaseRepresentation
bin1000000110011000010000
310222212121000
420012120100
51020421110
6113302000
724022215
oct10063020
93885530
102123280
111220285
12864900
135945a3
143d3b0c
152be1c0
hex206610

2123280 has 80 divisors (see below), whose sum is σ = 7320960. Its totient is φ = 565632.

The previous prime is 2123279. The next prime is 2123281. The reversal of 2123280 is 823212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2123279) and next prime (2123281).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2123281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1669 + ... + 2651.

It is an arithmetic number, because the mean of its divisors is an integer number (91512).

22123280 is an apocalyptic number.

2123280 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 2123280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660480).

2123280 is an abundant number, since it is smaller than the sum of its proper divisors (5197680).

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

2123280 is a wasteful number, since it uses less digits than its factorization.

2123280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2123280 is about 1457.1478991509. The cubic root of 2123280 is about 128.5293830772.

Adding to 2123280 its reverse (823212), we get a palindrome (2946492).

It can be divided in two parts, 21232 and 80, that added together give a palindrome (21312).

The spelling of 2123280 in words is "two million, one hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 983 1080 1966 2160 2949 3932 4915 5898 7864 8847 9830 11796 14745 15728 17694 19660 23592 26541 29490 35388 39320 44235 47184 53082 58980 70776 78640 88470 106164 117960 132705 141552 176940 212328 235920 265410 353880 424656 530820 707760 1061640 2123280