Search a number
-
+
2140608512 = 2117283257
BaseRepresentation
bin111111110010111…
…0001100000000000
312112011221011211202
41333211301200000
513340443433022
6552224400332
7104021605100
oct17745614000
95464834752
102140608512
119a9354949
124b8a760a8
13281638673
1416441b200
15c7dd9592
hex7f971800

2140608512 has 144 divisors (see below), whose sum is σ = 5058569880. Its totient is φ = 902823936.

The previous prime is 2140608511. The next prime is 2140608557. The reversal of 2140608512 is 2158060412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140608511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8329088 + ... + 8329344.

Almost surely, 22140608512 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 2140608512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529284940).

2140608512 is an abundant number, since it is smaller than the sum of its proper divisors (2917961368).

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

2140608512 is an equidigital number, since it uses as much as digits as its factorization.

2140608512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 2140608512 is about 46266.7106243787. The cubic root of 2140608512 is about 1288.7808749400.

Adding to 2140608512 its reverse (2158060412), we get a palindrome (4298668924).

The spelling of 2140608512 in words is "two billion, one hundred forty million, six hundred eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 83 98 112 128 166 196 224 256 257 332 392 448 512 514 581 664 784 896 1024 1028 1162 1328 1568 1792 1799 2048 2056 2324 2656 3136 3584 3598 4067 4112 4648 5312 6272 7168 7196 8134 8224 9296 10624 12544 12593 14336 14392 16268 16448 18592 21248 21331 25088 25186 28784 32536 32896 37184 42496 42662 50176 50372 57568 65072 65792 74368 84992 85324 100352 100744 115136 130144 131584 148736 149317 169984 170648 201488 230272 260288 263168 297472 298634 341296 402976 460544 520576 526336 594944 597268 682592 805952 921088 1041152 1045219 1189888 1194536 1365184 1611904 1842176 2082304 2090438 2389072 2730368 3223808 3684352 4164608 4180876 4778144 5460736 6447616 8329216 8361752 9556288 10921472 12895232 16723504 19112576 21842944 25790464 33447008 38225152 43685888 66894016 76450304 133788032 152900608 267576064 305801216 535152128 1070304256 2140608512