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2724731020 = 2251135934499
BaseRepresentation
bin1010001001101000…
…0001100010001100
321000220001200021201
42202122001202030
521040012343040
61130212235244
7124343555134
oct24232014214
97026050251
102724731020
111179048820
1264060bb24
1334566539b
141bbc2dac4
1510e31ca9a
hexa268188c

2724731020 has 48 divisors (see below), whose sum is σ = 6259680000. Its totient is φ = 988022720.

The previous prime is 2724731017. The next prime is 2724731021. The reversal of 2724731020 is 201374272.

It is a self number, because there is not a number n which added to its sum of digits gives 2724731020.

It is not an unprimeable number, because it can be changed into a prime (2724731021) 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, 61731 + ... + 96229.

It is an arithmetic number, because the mean of its divisors is an integer number (130410000).

Almost surely, 22724731020 is an apocalyptic number.

2724731020 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 2724731020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129840000).

2724731020 is an abundant number, since it is smaller than the sum of its proper divisors (3534948980).

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

2724731020 is a wasteful number, since it uses less digits than its factorization.

2724731020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34878 (or 34876 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2724731020 is about 52198.9561198306. The cubic root of 2724731020 is about 1396.7152618232.

The spelling of 2724731020 in words is "two billion, seven hundred twenty-four million, seven hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 359 718 1436 1795 3590 3949 7180 7898 15796 19745 34499 39490 68998 78980 137996 172495 344990 379489 689980 758978 1517956 1897445 3794890 7589780 12385141 24770282 49540564 61925705 123851410 136236551 247702820 272473102 544946204 681182755 1362365510 2724731020