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2320020240 = 243524140111
BaseRepresentation
bin1000101001001000…
…1011001100010000
312222200112020110120
42022102023030100
514222411121430
61022114030240
7111330563256
oct21222131420
95880466416
102320020240
11a906555aa
12548b78380
132ac864855
141801a05d6
15d8a28610
hex8a48b310

2320020240 has 80 divisors (see below), whose sum is σ = 7222085376. Its totient is φ = 616089600.

The previous prime is 2320020229. The next prime is 2320020247. The reversal of 2320020240 is 420200232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2320020247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37785 + ... + 77895.

Almost surely, 22320020240 is an apocalyptic number.

2320020240 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 2320020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3611042688).

2320020240 is an abundant number, since it is smaller than the sum of its proper divisors (4902065136).

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

2320020240 is a wasteful number, since it uses less digits than its factorization.

2320020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40368 (or 40362 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2320020240 is about 48166.5884197750. The cubic root of 2320020240 is about 1323.8250393269.

Adding to 2320020240 its reverse (420200232), we get a palindrome (2740220472).

The spelling of 2320020240 in words is "two billion, three hundred twenty million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 482 723 964 1205 1446 1928 2410 2892 3615 3856 4820 5784 7230 9640 11568 14460 19280 28920 40111 57840 80222 120333 160444 200555 240666 320888 401110 481332 601665 641776 802220 962664 1203330 1604440 1925328 2406660 3208880 4813320 9626640 9666751 19333502 29000253 38667004 48333755 58000506 77334008 96667510 116001012 145001265 154668016 193335020 232002024 290002530 386670040 464004048 580005060 773340080 1160010120 2320020240