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2393968640 = 2125716699
BaseRepresentation
bin1000111010110001…
…0001000000000000
320011211200012121012
42032230101000000
514400323444030
61033315020052
7113216253260
oct21654210000
96154605535
102393968640
111019373088
1256989a628
132c1c865bb
14189d2d7a0
15e0284095
hex8eb11000

2393968640 has 104 divisors (see below), whose sum is σ = 6565905600. Its totient is φ = 820740096.

The previous prime is 2393968613. The next prime is 2393968649. The reversal of 2393968640 is 468693932.

It is not an unprimeable number, because it can be changed into a prime (2393968649) 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, 135011 + ... + 151709.

Almost surely, 22393968640 is an apocalyptic number.

2393968640 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 2393968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282952800).

2393968640 is an abundant number, since it is smaller than the sum of its proper divisors (4171936960).

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

2393968640 is an equidigital number, since it uses as much as digits as its factorization.

2393968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16735 (or 16713 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 50.

The square root of 2393968640 is about 48928.1988223560. The cubic root of 2393968640 is about 1337.7434062496.

The spelling of 2393968640 in words is "two billion, three hundred ninety-three million, nine hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4096 4480 5120 7168 8960 10240 14336 16699 17920 20480 28672 33398 35840 66796 71680 83495 116893 133592 143360 166990 233786 267184 333980 467572 534368 584465 667960 935144 1068736 1168930 1335920 1870288 2137472 2337860 2671840 3740576 4274944 4675720 5343680 7481152 8549888 9351440 10687360 14962304 17099776 18702880 21374720 29924608 34199552 37405760 42749440 59849216 68399104 74811520 85498880 119698432 149623040 170997760 239396864 299246080 341995520 478793728 598492160 1196984320 2393968640