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2320423040 = 275131511847
BaseRepresentation
bin1000101001001110…
…1101100010000000
312222201021201000002
42022103231202000
514223012014130
61022130415132
7111334161515
oct21223554200
95881251002
102320423040
11a909001a1
125491314a8
132ac975cb0
1418026730c
15d8aa7b45
hex8a4ed880

2320423040 has 128 divisors (see below), whose sum is σ = 6016792320. Its totient is φ = 850636800.

The previous prime is 2320423019. The next prime is 2320423073. The reversal of 2320423040 is 403240232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255397 + ... + 1257243.

It is an arithmetic number, because the mean of its divisors is an integer number (47006190).

Almost surely, 22320423040 is an apocalyptic number.

2320423040 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 2320423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008396160).

2320423040 is an abundant number, since it is smaller than the sum of its proper divisors (3696369280).

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

2320423040 is a wasteful number, since it uses less digits than its factorization.

2320423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2320423040 is about 48170.7695599728. The cubic root of 2320423040 is about 1323.9016486972.

Adding to 2320423040 its reverse (403240232), we get a palindrome (2723663272).

The spelling of 2320423040 in words is "two billion, three hundred twenty million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 151 160 208 260 302 320 416 520 604 640 755 832 1040 1208 1510 1664 1847 1963 2080 2416 3020 3694 3926 4160 4832 6040 7388 7852 8320 9235 9664 9815 12080 14776 15704 18470 19328 19630 24011 24160 29552 31408 36940 39260 48022 48320 59104 62816 73880 78520 96044 96640 118208 120055 125632 147760 157040 192088 236416 240110 251264 278897 295520 314080 384176 480220 557794 591040 628160 768352 960440 1115588 1182080 1256320 1394485 1536704 1920880 2231176 2788970 3073408 3625661 3841760 4462352 5577940 7251322 7683520 8924704 11155880 14502644 15367040 17849408 18128305 22311760 29005288 35698816 36256610 44623520 58010576 72513220 89247040 116021152 145026440 178494080 232042304 290052880 464084608 580105760 1160211520 2320423040