Search a number
-
+
2112465740 = 2257111371731
BaseRepresentation
bin111110111101001…
…1010101101001100
312110012222101012212
41331322122231030
513311242400430
6545341245552
7103230443150
oct17572325514
95405871185
102112465740
11994482860
124ab5638b8
13278863b38
141607b3060
15c56cab95
hex7de9ab4c

2112465740 has 48 divisors (see below), whose sum is σ = 5530823424. Its totient is φ = 658430400.

The previous prime is 2112465703. The next prime is 2112465749. The reversal of 2112465740 is 475642112.

It is a junction number, because it is equal to n+sod(n) for n = 2112465697 and 2112465706.

It is not an unprimeable number, because it can be changed into a prime (2112465749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684326 + ... + 687405.

It is an arithmetic number, because the mean of its divisors is an integer number (115225488).

Almost surely, 22112465740 is an apocalyptic number.

2112465740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112465740 is an abundant number, since it is smaller than the sum of its proper divisors (3418357684).

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

2112465740 is a wasteful number, since it uses less digits than its factorization.

2112465740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371758 (or 1371756 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2112465740 is about 45961.5680759480. The cubic root of 2112465740 is about 1283.1080354858.

The spelling of 2112465740 in words is "two billion, one hundred twelve million, four hundred sixty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1371731 2743462 5486924 6858655 9602117 13717310 15089041 19204234 27434620 30178082 38408468 48010585 60356164 75445205 96021170 105623287 150890410 192042340 211246574 301780820 422493148 528116435 1056232870 2112465740