Search a number
-
+
2139055936 = 262334167
BaseRepresentation
bin111111101111111…
…0110011101000000
312112002000022002221
41333133312131000
513340044242221
6552131220424
7104002450453
oct17737663500
95462008087
102139055936
119a8494426
124b8447714
13281213a94
1416413549a
15c7bce541
hex7f7f6740

2139055936 has 112 divisors (see below), whose sum is σ = 4613696640. Its totient is φ = 983178240.

The previous prime is 2139055927. The next prime is 2139055969. The reversal of 2139055936 is 6395509312.

It is a junction number, because it is equal to n+sod(n) for n = 2139055892 and 2139055901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31926175 + ... + 31926241.

It is an arithmetic number, because the mean of its divisors is an integer number (41193720).

Almost surely, 22139055936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139055936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306848320).

2139055936 is an abundant number, since it is smaller than the sum of its proper divisors (2474640704).

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

2139055936 is an frugal number, since it uses more digits than its factorization.

2139055936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 43.

The square root of 2139055936 is about 46249.9290377834. The cubic root of 2139055936 is about 1288.4692167992.

It can be divided in two parts, 2 and 139055936, that multiplied together give a palindrome (278111872).

The spelling of 2139055936 in words is "two billion, one hundred thirty-nine million, fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 41 46 64 67 82 92 134 164 184 268 328 368 529 536 656 736 943 1058 1072 1312 1472 1541 1886 2116 2144 2624 2747 3082 3772 4232 4288 5494 6164 7544 8464 10988 12167 12328 15088 16928 21689 21976 24334 24656 30176 33856 35443 43378 43952 48668 49312 60352 63181 70886 86756 87904 97336 98624 126362 141772 173512 175808 194672 252724 283544 347024 389344 498847 505448 567088 694048 778688 815189 997694 1010896 1134176 1388096 1453163 1630378 1995388 2021792 2268352 2906326 3260756 3990776 4043584 5812652 6521512 7981552 11625304 13043024 15963104 23250608 26086048 31926208 33422749 46501216 52172096 66845498 93002432 133690996 267381992 534763984 1069527968 2139055936