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2119040 = 27571143
BaseRepresentation
bin1000000101010110000000
310222122202222
420011112000
51020302130
6113230212
724003650
oct10052600
93878688
102119040
111218080
12862368
13592691
143d2360
152bcce5
hex205580

2119040 has 128 divisors (see below), whose sum is σ = 6462720. Its totient is φ = 645120.

The previous prime is 2119031. The next prime is 2119057. The reversal of 2119040 is 409112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49259 + ... + 49301.

It is an arithmetic number, because the mean of its divisors is an integer number (50490).

22119040 is an apocalyptic number.

2119040 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 2119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231360).

2119040 is an abundant number, since it is smaller than the sum of its proper divisors (4343680).

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

2119040 is a wasteful number, since it uses less digits than its factorization.

2119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2119040 is about 1455.6922751736. The cubic root of 2119040 is about 128.4437721771.

Adding to 2119040 its product of nonzero digits (72), we get a palindrome (2119112).

The spelling of 2119040 in words is "two million, one hundred nineteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 43 44 55 56 64 70 77 80 86 88 110 112 128 140 154 160 172 176 215 220 224 280 301 308 320 344 352 385 430 440 448 473 560 602 616 640 688 704 770 860 880 896 946 1120 1204 1232 1376 1408 1505 1540 1720 1760 1892 2240 2365 2408 2464 2752 3010 3080 3311 3440 3520 3784 4480 4730 4816 4928 5504 6020 6160 6622 6880 7040 7568 9460 9632 9856 12040 12320 13244 13760 15136 16555 18920 19264 24080 24640 26488 27520 30272 33110 37840 38528 48160 49280 52976 60544 66220 75680 96320 105952 132440 151360 192640 211904 264880 302720 423808 529760 1059520 2119040