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2168280 = 2332519317
BaseRepresentation
bin1000010001010111011000
311002011022200
420101113120
51023341110
6114250200
724300342
oct10212730
94064280
102168280
111251074
12886960
135abc0a
14406292
152cc6c0
hex2115d8

2168280 has 96 divisors (see below), whose sum is σ = 7441200. Its totient is φ = 546048.

The previous prime is 2168273. The next prime is 2168291. The reversal of 2168280 is 828612.

2168280 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6682 + ... + 6998.

22168280 is an apocalyptic number.

2168280 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 2168280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720600).

2168280 is an abundant number, since it is smaller than the sum of its proper divisors (5272920).

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

2168280 is a wasteful number, since it uses less digits than its factorization.

2168280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2168280 is about 1472.5080644940. The cubic root of 2168280 is about 129.4310441217.

The spelling of 2168280 in words is "two million, one hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 317 342 360 380 456 570 634 684 760 855 951 1140 1268 1368 1585 1710 1902 2280 2536 2853 3170 3420 3804 4755 5706 6023 6340 6840 7608 9510 11412 12046 12680 14265 18069 19020 22824 24092 28530 30115 36138 38040 48184 54207 57060 60230 72276 90345 108414 114120 120460 144552 180690 216828 240920 271035 361380 433656 542070 722760 1084140 2168280