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2742303520 = 2551110115427
BaseRepresentation
bin1010001101110100…
…0011101100100000
321002010010110020001
42203131003230200
521104012203040
61132041025344
7124646123665
oct24335035440
97063113201
102742303520
111187a60250
12646485254
133491a8908
141c02c5a6c
15110b3e59a
hexa3743b20

2742303520 has 96 divisors (see below), whose sum is σ = 7138103616. Its totient is φ = 987264000.

The previous prime is 2742303479. The next prime is 2742303527. The reversal of 2742303520 is 253032472.

It is not an unprimeable number, because it can be changed into a prime (2742303527) 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, 170047 + ... + 185473.

It is an arithmetic number, because the mean of its divisors is an integer number (74355246).

Almost surely, 22742303520 is an apocalyptic number.

2742303520 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 2742303520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569051808).

2742303520 is an abundant number, since it is smaller than the sum of its proper divisors (4395800096).

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

2742303520 is a wasteful number, since it uses less digits than its factorization.

2742303520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15554 (or 15546 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 2742303520 is about 52367.0079343856. The cubic root of 2742303520 is about 1399.7114235141.

Adding to 2742303520 its reverse (253032472), we get a palindrome (2995335992).

The spelling of 2742303520 in words is "two billion, seven hundred forty-two million, three hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 15427 16160 17776 22220 30854 35552 44440 61708 77135 88880 123416 154270 169697 177760 246832 308540 339394 493664 617080 678788 848485 1234160 1357576 1558127 1696970 2468320 2715152 3116254 3393940 5430304 6232508 6787880 7790635 12465016 13575760 15581270 17139397 24930032 27151520 31162540 34278794 49860064 62325080 68557588 85696985 124650160 137115176 171393970 249300320 274230352 342787940 548460704 685575880 1371151760 2742303520