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742021700 = 225272151433
BaseRepresentation
bin101100001110100…
…101101001000100
31220201020121102012
4230032211221010
53004424143300
6201344033352
724250036400
oct5416455104
91821217365
10742021700
11350940982
12188602858
13ba9631c4
1470796100
1545223435
hex2c3a5a44

742021700 has 54 divisors (see below), whose sum is σ = 1873087146. Its totient is φ = 254405760.

The previous prime is 742021697. The next prime is 742021703. The reversal of 742021700 is 7120247.

It is an interprime number because it is at equal distance from previous prime (742021697) and next prime (742021703).

It can be written as a sum of positive squares in 3 ways, for example, as 6635776 + 735385924 = 2576^2 + 27118^2 .

It is not an unprimeable number, because it can be changed into a prime (742021703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70817 + ... + 80616.

It is an arithmetic number, because the mean of its divisors is an integer number (34686799).

Almost surely, 2742021700 is an apocalyptic number.

742021700 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

742021700 is an abundant number, since it is smaller than the sum of its proper divisors (1131065446).

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

742021700 is a wasteful number, since it uses less digits than its factorization.

742021700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151461 (or 151447 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 742021700 is about 27240.0752568711. The cubic root of 742021700 is about 905.3271306007.

Adding to 742021700 its reverse (7120247), we get a palindrome (749141947).

The spelling of 742021700 in words is "seven hundred forty-two million, twenty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 151433 302866 605732 757165 1060031 1514330 2120062 3028660 3785825 4240124 5300155 7420217 7571650 10600310 14840434 15143300 21200620 26500775 29680868 37101085 53001550 74202170 106003100 148404340 185505425 371010850 742021700