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2188680 = 2335132361
BaseRepresentation
bin1000010110010110001000
311010012022020
420112112020
51030014210
6114524440
724413664
oct10262610
94105266
102188680
11126542a
12896720
135b82a0
1440d8a4
152d3770
hex216588

2188680 has 128 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 506880.

The previous prime is 2188679. The next prime is 2188687. The reversal of 2188680 is 868812.

It is not an unprimeable number, because it can be changed into a prime (2188687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35850 + ... + 35910.

It is an arithmetic number, because the mean of its divisors is an integer number (58590).

22188680 is an apocalyptic number.

2188680 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 2188680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2188680 is an abundant number, since it is smaller than the sum of its proper divisors (5310840).

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

2188680 is a wasteful number, since it uses less digits than its factorization.

2188680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 2188680 is about 1479.4188048014. The cubic root of 2188680 is about 129.8356898478.

The spelling of 2188680 in words is "two million, one hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 61 65 69 78 92 104 115 120 122 130 138 156 183 184 195 230 244 260 276 299 305 312 345 366 390 460 488 520 552 598 610 690 732 780 793 897 915 920 1196 1220 1380 1403 1464 1495 1560 1586 1794 1830 2379 2392 2440 2760 2806 2990 3172 3588 3660 3965 4209 4485 4758 5612 5980 6344 7015 7176 7320 7930 8418 8970 9516 11224 11895 11960 14030 15860 16836 17940 18239 19032 21045 23790 28060 31720 33672 35880 36478 42090 47580 54717 56120 72956 84180 91195 95160 109434 145912 168360 182390 218868 273585 364780 437736 547170 729560 1094340 2188680