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2118480 = 243571397
BaseRepresentation
bin1000000101001101010000
310222122000020
420011031100
51020242410
6113223440
724002220
oct10051520
93878006
102118480
111217711
12861b80
13592350
143d2080
152bca70
hex205350

2118480 has 160 divisors (see below), whose sum is σ = 8166144. Its totient is φ = 442368.

The previous prime is 2118449. The next prime is 2118491. The reversal of 2118480 is 848112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2118480.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21792 + ... + 21888.

22118480 is an apocalyptic number.

2118480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1455×1456.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083072).

2118480 is an abundant number, since it is smaller than the sum of its proper divisors (6047664).

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

2118480 is a wasteful number, since it uses less digits than its factorization.

2118480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 2118480 is about 1455.4999141189. The cubic root of 2118480 is about 128.4324565421.

The spelling of 2118480 in words is "two million, one hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 97 104 105 112 120 130 140 156 168 182 194 195 208 210 240 260 273 280 291 312 336 364 388 390 420 455 485 520 546 560 582 624 679 728 776 780 840 910 970 1040 1092 1164 1261 1358 1365 1455 1456 1552 1560 1680 1820 1940 2037 2184 2328 2522 2716 2730 2910 3120 3395 3640 3783 3880 4074 4368 4656 5044 5432 5460 5820 6305 6790 7280 7566 7760 8148 8827 10088 10185 10864 10920 11640 12610 13580 15132 16296 17654 18915 20176 20370 21840 23280 25220 26481 27160 30264 32592 35308 37830 40740 44135 50440 52962 54320 60528 70616 75660 81480 88270 100880 105924 132405 141232 151320 162960 176540 211848 264810 302640 353080 423696 529620 706160 1059240 2118480