Search a number
-
+
2083936036 = 2271319215859
BaseRepresentation
bin111110000110110…
…0101011100100100
312101020021220211011
41330031211130210
513231441423121
6542441552004
7102433110160
oct17415453444
95336256734
102083936036
1197a366a96
124a1aa5604
13272985160
1415aaa7ca0
15c2e427e1
hex7c365724

2083936036 has 72 divisors (see below), whose sum is σ = 4737445440. Its totient is φ = 780974784.

The previous prime is 2083936021. The next prime is 2083936039. The reversal of 2083936036 is 6306393802.

It is a self number, because there is not a number n which added to its sum of digits gives 2083936036.

It is not an unprimeable number, because it can be changed into a prime (2083936039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123475 + ... + 139333.

Almost surely, 22083936036 is an apocalyptic number.

2083936036 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 2083936036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368722720).

2083936036 is an abundant number, since it is smaller than the sum of its proper divisors (2653509404).

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

2083936036 is a wasteful number, since it uses less digits than its factorization.

2083936036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15921 (or 15900 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The square root of 2083936036 is about 45650.1482582477. The cubic root of 2083936036 is about 1277.3055372446.

The spelling of 2083936036 in words is "two billion, eighty-three million, nine hundred thirty-six thousand, thirty-six".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 361 364 494 532 722 988 1444 1729 2527 3458 4693 5054 6916 9386 10108 15859 18772 31718 32851 63436 65702 111013 131404 206167 222026 301321 412334 444052 602642 824668 1205284 1443169 2109247 2886338 3917173 4218494 5725099 5772676 7834346 8436988 11450198 15668692 22900396 27420211 40075693 54840422 74426287 80151386 109680844 148852574 160302772 297705148 520984009 1041968018 2083936036