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2112357936 = 2431319917011
BaseRepresentation
bin111110111101000…
…0000011000110000
312110012202220100010
41331322000120300
513311230423221
6545335054520
7103226513643
oct17572003060
95405686303
102112357936
11994409867
124ab511440
13278826a50
14160785a5a
15c56a8c76
hex7de80630

2112357936 has 80 divisors (see below), whose sum is σ = 5906566400. Its totient is φ = 646652160.

The previous prime is 2112357931. The next prime is 2112357937. The reversal of 2112357936 is 6397532112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2112357894 and 2112357903.

It is not an unprimeable number, because it can be changed into a prime (2112357931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115671 + ... + 132681.

It is an arithmetic number, because the mean of its divisors is an integer number (73832080).

Almost surely, 22112357936 is an apocalyptic number.

2112357936 is a gapful number since it is divisible by the number (26) 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 2112357936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953283200).

2112357936 is an abundant number, since it is smaller than the sum of its proper divisors (3794208464).

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

2112357936 is a wasteful number, since it uses less digits than its factorization.

2112357936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17234 (or 17228 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 2112357936 is about 45960.3952985611. The cubic root of 2112357936 is about 1283.0862084602.

The spelling of 2112357936 in words is "two billion, one hundred twelve million, three hundred fifty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 199 208 312 398 597 624 796 1194 1592 2388 2587 3184 4776 5174 7761 9552 10348 15522 17011 20696 31044 34022 41392 51033 62088 68044 102066 124176 136088 204132 221143 272176 408264 442286 663429 816528 884572 1326858 1769144 2653716 3385189 3538288 5307432 6770378 10155567 10614864 13540756 20311134 27081512 40622268 44007457 54163024 81244536 88014914 132022371 162489072 176029828 264044742 352059656 528089484 704119312 1056178968 2112357936