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2112430040 = 235743473733
BaseRepresentation
bin111110111101001…
…0001111111011000
312110012220120020122
41331322101333120
513311240230130
6545340412412
7103230234110
oct17572217730
95405816218
102112430040
11994458a56
124ab547108
13278850806
141607a4040
15c56c02e5
hex7de91fd8

2112430040 has 128 divisors (see below), whose sum is σ = 5678069760. Its totient is φ = 692181504.

The previous prime is 2112430037. The next prime is 2112430043. The reversal of 2112430040 is 400342112.

It is an interprime number because it is at equal distance from previous prime (2112430037) and next prime (2112430043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112430043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564014 + ... + 567746.

It is an arithmetic number, because the mean of its divisors is an integer number (44359920).

Almost surely, 22112430040 is an apocalyptic number.

2112430040 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 2112430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839034880).

2112430040 is an abundant number, since it is smaller than the sum of its proper divisors (3565639720).

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

2112430040 is a wasteful number, since it uses less digits than its factorization.

2112430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2112430040 is about 45961.1797063565. The cubic root of 2112430040 is about 1283.1008074057.

Adding to 2112430040 its reverse (400342112), we get a palindrome (2512772152).

The spelling of 2112430040 in words is "two billion, one hundred twelve million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 47 56 70 86 94 140 172 188 215 235 280 301 329 344 376 430 470 602 658 860 940 1204 1316 1505 1645 1720 1880 2021 2408 2632 3010 3290 3733 4042 6020 6580 7466 8084 10105 12040 13160 14147 14932 16168 18665 20210 26131 28294 29864 37330 40420 52262 56588 70735 74660 80840 104524 113176 130655 141470 149320 160519 175451 209048 261310 282940 321038 350902 522620 565880 642076 701804 802595 877255 1045240 1123633 1228157 1284152 1403608 1605190 1754510 2247266 2456314 3210380 3509020 4494532 4912628 5618165 6140785 6420760 7018040 7544393 8989064 9825256 11236330 12281570 15088786 22472660 24563140 30177572 37721965 44945320 49126280 52810751 60355144 75443930 105621502 150887860 211243004 264053755 301775720 422486008 528107510 1056215020 2112430040