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2320024128 = 263293113441
BaseRepresentation
bin1000101001001000…
…1100001001000000
312222200112102210120
42022102030021000
514222411233003
61022114100240
7111330610512
oct21222141100
95880472716
102320024128
11a90658514
12548b7a680
132ac866556
141801a1bb2
15d8a29853
hex8a48c240

2320024128 has 112 divisors (see below), whose sum is σ = 6555394560. Its totient is φ = 722534400.

The previous prime is 2320024121. The next prime is 2320024141. The reversal of 2320024128 is 8214200232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2320024098 and 2320024107.

It is not an unprimeable number, because it can be changed into a prime (2320024121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165888 + ... + 179328.

Almost surely, 22320024128 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 2320024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277697280).

2320024128 is an abundant number, since it is smaller than the sum of its proper divisors (4235370432).

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

2320024128 is a wasteful number, since it uses less digits than its factorization.

2320024128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13516 (or 13506 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2320024128 is about 48166.6287796852. The cubic root of 2320024128 is about 1323.8257788361.

The spelling of 2320024128 in words is "two billion, three hundred twenty million, twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 5394 5568 5952 7192 10788 13441 14384 21576 26882 28768 40323 43152 53764 57536 80646 86304 107528 161292 172608 215056 322584 389789 416671 430112 645168 779578 833342 860224 1169367 1250013 1290336 1559156 1666684 2338734 2500026 2580672 3118312 3333368 4677468 5000052 6236624 6666736 9354936 10000104 12083459 12473248 13333472 18709872 20000208 24166918 24946496 26666944 36250377 37419744 40000416 48333836 72500754 74839488 80000832 96667672 145001508 193335344 290003016 386670688 580006032 773341376 1160012064 2320024128