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2102623040 = 26572294099
BaseRepresentation
bin111110101010011…
…0111101101000000
312102112110022120102
41331110313231000
513301232414130
6544350301532
7103051000220
oct17524675500
95375408512
102102623040
1198996a8a1
124a81b78a8
132767c8a5b
1415d370080
15c48d4645
hex7d537b40

2102623040 has 112 divisors (see below), whose sum is σ = 5748528000. Its totient is φ = 717576192.

The previous prime is 2102623037. The next prime is 2102623051. The reversal of 2102623040 is 403262012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510911 + ... + 515009.

Almost surely, 22102623040 is an apocalyptic number.

2102623040 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 2102623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874264000).

2102623040 is an abundant number, since it is smaller than the sum of its proper divisors (3645904960).

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

2102623040 is a wasteful number, since it uses less digits than its factorization.

2102623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2102623040 is about 45854.3677308934. The cubic root of 2102623040 is about 1281.1121194002.

Adding to 2102623040 its reverse (403262012), we get a palindrome (2505885052).

The spelling of 2102623040 in words is "two billion, one hundred two million, six hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 229 280 320 448 458 560 916 1120 1145 1603 1832 2240 2290 3206 3664 4099 4580 6412 7328 8015 8198 9160 12824 14656 16030 16396 18320 20495 25648 28693 32060 32792 36640 40990 51296 57386 64120 65584 73280 81980 102592 114772 128240 131168 143465 163960 229544 256480 262336 286930 327920 459088 512960 573860 655840 918176 938671 1147720 1311680 1836352 1877342 2295440 3754684 4590880 4693355 6570697 7509368 9181760 9386710 13141394 15018736 18773420 26282788 30037472 32853485 37546840 52565576 60074944 65706970 75093680 105131152 131413940 150187360 210262304 262827880 300374720 420524608 525655760 1051311520 2102623040