Search a number
-
+
2420234240 = 21151713903
BaseRepresentation
bin1001000001000001…
…1101100000000000
320020200002122020012
42100100131200000
514424034443430
61040054004052
7113655436334
oct22020354000
96220078205
102420234240
111032182896
12576646628
132c7551888
1418d6097c4
15e2721695
hex9041d800

2420234240 has 96 divisors (see below), whose sum is σ = 6149183040. Its totient is φ = 911081472.

The previous prime is 2420234239. The next prime is 2420234249. The reversal of 2420234240 is 424320242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420234249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167129 + ... + 181031.

It is an arithmetic number, because the mean of its divisors is an integer number (64053990).

Almost surely, 22420234240 is an apocalyptic number.

2420234240 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 2420234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074591520).

2420234240 is an abundant number, since it is smaller than the sum of its proper divisors (3728948800).

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

2420234240 is a wasteful number, since it uses less digits than its factorization.

2420234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13947 (or 13927 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2420234240 is about 49195.8762499460. The cubic root of 2420234240 is about 1342.6180049709.

Adding to 2420234240 its reverse (424320242), we get a palindrome (2844554482).

The spelling of 2420234240 in words is "two billion, four hundred twenty million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4352 5120 5440 8704 10240 10880 13903 17408 21760 27806 34816 43520 55612 69515 87040 111224 139030 174080 222448 236351 278060 444896 472702 556120 889792 945404 1112240 1181755 1779584 1890808 2224480 2363510 3559168 3781616 4448960 4727020 7118336 7563232 8897920 9454040 14236672 15126464 17795840 18908080 28473344 30252928 35591680 37816160 60505856 71183360 75632320 121011712 142366720 151264640 242023424 302529280 484046848 605058560 1210117120 2420234240