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2118880 = 255171941
BaseRepresentation
bin1000000101010011100000
310222122120001
420011103200
51020301010
6113225344
724003331
oct10052340
93878501
102118880
111217a45
12862254
1359259a
143d2288
152bcc3a
hex2054e0

2118880 has 96 divisors (see below), whose sum is σ = 5715360. Its totient is φ = 737280.

The previous prime is 2118877. The next prime is 2118889. The reversal of 2118880 is 888112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118889) 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 15 ways as a sum of consecutive naturals, for example, 51660 + ... + 51700.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

22118880 is an apocalyptic number.

2118880 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 2118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680).

2118880 is an abundant number, since it is smaller than the sum of its proper divisors (3596480).

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

2118880 is a wasteful number, since it uses less digits than its factorization.

2118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 2118880 is about 1455.6373174661. The cubic root of 2118880 is about 128.4405393420.

The spelling of 2118880 in words is "two million, one hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 41 68 76 80 82 85 95 136 152 160 164 170 190 205 272 304 323 328 340 380 410 544 608 646 656 680 697 760 779 820 1292 1312 1360 1394 1520 1558 1615 1640 2584 2720 2788 3040 3116 3230 3280 3485 3895 5168 5576 6232 6460 6560 6970 7790 10336 11152 12464 12920 13243 13940 15580 22304 24928 25840 26486 27880 31160 51680 52972 55760 62320 66215 105944 111520 124640 132430 211888 264860 423776 529720 1059440 2118880