Search a number
-
+
2110593024 = 211354241
BaseRepresentation
bin111110111001101…
…0001100000000000
312110002110020100000
41331303101200000
513310302434044
6545233200000
7103205513301
oct17563214000
95402406300
102110593024
11993413861
124aaa00000
13278359617
141604467a8
15c545ad69
hex7dcd1800

2110593024 has 144 divisors (see below), whose sum is σ = 6323040360. Its totient is φ = 703365120.

The previous prime is 2110593011. The next prime is 2110593029. The reversal of 2110593024 is 4203950112.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110593029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495544 + ... + 499784.

Almost surely, 22110593024 is an apocalyptic number.

2110593024 is a gapful number since it is divisible by the number (24) 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 2110593024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161520180).

2110593024 is an abundant number, since it is smaller than the sum of its proper divisors (4212447336).

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

2110593024 is an frugal number, since it uses more digits than its factorization.

2110593024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2110593024 is about 45941.1909292739. The cubic root of 2110593024 is about 1282.7287619014.

The spelling of 2110593024 in words is "two billion, one hundred ten million, five hundred ninety-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4241 4608 5184 6144 6912 7776 8482 9216 10368 12723 13824 15552 16964 18432 20736 25446 27648 31104 33928 38169 41472 50892 55296 62208 67856 76338 82944 101784 114507 124416 135712 152676 165888 203568 229014 248832 271424 305352 343521 407136 458028 497664 542848 610704 687042 814272 916056 1030563 1085696 1221408 1374084 1628544 1832112 2061126 2171392 2442816 2748168 3257088 3664224 4122252 4342784 4885632 5496336 6514176 7328448 8244504 8685568 9771264 10992672 13028352 14656896 16489008 19542528 21985344 26056704 29313792 32978016 39085056 43970688 58627584 65956032 78170112 87941376 117255168 131912064 175882752 234510336 263824128 351765504 527648256 703531008 1055296512 2110593024