Search a number
-
+
2142533376 = 2833401773
BaseRepresentation
bin111111110110100…
…0111011100000000
312112022112222021000
41333231013130000
513341442032001
6552333532000
7104044142664
oct17755073400
95468488230
102142533376
119aa44a045
124b9644000
13281b60839
1416479c8a4
15c8169a86
hex7fb47700

2142533376 has 144 divisors (see below), whose sum is σ = 6359865120. Its totient is φ = 711475200.

The previous prime is 2142533333. The next prime is 2142533377. The reversal of 2142533376 is 6733352412.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2142533376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142533377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2771326 + ... + 2772098.

It is an arithmetic number, because the mean of its divisors is an integer number (44165730).

Almost surely, 22142533376 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 2142533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179932560).

2142533376 is an abundant number, since it is smaller than the sum of its proper divisors (4217331744).

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

2142533376 is an equidigital number, since it uses as much as digits as its factorization.

2142533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1179 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 2142533376 is about 46287.5077747766. The cubic root of 2142533376 is about 1289.1670555828.

Adding to 2142533376 its reverse (6733352412), we get a palindrome (8875885788).

The spelling of 2142533376 in words is "two billion, one hundred forty-two million, five hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 401 432 576 768 773 802 864 1152 1203 1546 1604 1728 2304 2319 2406 3092 3208 3456 3609 4638 4812 6184 6416 6912 6957 7218 9276 9624 10827 12368 12832 13914 14436 18552 19248 20871 21654 24736 25664 27828 28872 37104 38496 41742 43308 49472 51328 55656 57744 74208 76992 83484 86616 98944 102656 111312 115488 148416 153984 166968 173232 197888 222624 230976 296832 307968 309973 333936 346464 445248 461952 593664 619946 667872 692928 890496 923904 929919 1239892 1335744 1385856 1780992 1859838 2479784 2671488 2771712 2789757 3719676 4959568 5342976 5579514 7439352 8369271 9919136 11159028 14878704 16738542 19838272 22318056 29757408 33477084 39676544 44636112 59514816 66954168 79353088 89272224 119029632 133908336 178544448 238059264 267816672 357088896 535633344 714177792 1071266688 2142533376