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2423132640 = 253256432617
BaseRepresentation
bin1001000001101110…
…0001000111100000
320020212112220002100
42100123201013200
514430310221030
61040240050400
7114022200435
oct22033410740
96225486070
102423132640
111033882465
12577603a00
132c8027bc6
1418db61b8c
15e2ae5360
hex906e11e0

2423132640 has 144 divisors (see below), whose sum is σ = 8284964688. Its totient is φ = 644917248.

The previous prime is 2423132629. The next prime is 2423132641. The reversal of 2423132640 is 462313242.

2423132640 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 13 + 2 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423132641) 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, 924612 + ... + 927228.

It is an arithmetic number, because the mean of its divisors is an integer number (57534477).

Almost surely, 22423132640 is an apocalyptic number.

2423132640 is a gapful number since it is divisible by the number (20) 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 2423132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142482344).

2423132640 is an abundant number, since it is smaller than the sum of its proper divisors (5861832048).

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

2423132640 is a wasteful number, since it uses less digits than its factorization.

2423132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2423132640 is about 49225.3251893779. The cubic root of 2423132640 is about 1343.1537508598.

Adding to 2423132640 its reverse (462313242), we get a palindrome (2885445882).

The spelling of 2423132640 in words is "two billion, four hundred twenty-three million, one hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 643 720 1286 1440 1929 2572 2617 3215 3858 5144 5234 5787 6430 7716 7851 9645 10288 10468 11574 12860 13085 15432 15702 19290 20576 20936 23148 23553 25720 26170 28935 30864 31404 38580 39255 41872 46296 47106 51440 52340 57870 61728 62808 77160 78510 83744 92592 94212 102880 104680 115740 117765 125616 154320 157020 185184 188424 209360 231480 235530 251232 308640 314040 376848 418720 462960 471060 628080 753696 925920 942120 1256160 1682731 1884240 3365462 3768480 5048193 6730924 8413655 10096386 13461848 15144579 16827310 20192772 25240965 26923696 30289158 33654620 40385544 50481930 53847392 60578316 67309240 75722895 80771088 100963860 121156632 134618480 151445790 161542176 201927720 242313264 269236960 302891580 403855440 484626528 605783160 807710880 1211566320 2423132640