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1072789253 = 2324214817
BaseRepresentation
bin111111111100010…
…111011100000101
32202202122100012022
4333330113130011
54144113224003
6254241332525
735404362314
oct7774273405
92682570168
101072789253
1150061a498
1225b337145
13141344453
14a269827b
15642ad738
hex3ff17705

1072789253 has 12 divisors (see below), whose sum is σ = 1124357388. Its totient is φ = 1023496320.

The previous prime is 1072789243. The next prime is 1072789279. The reversal of 1072789253 is 3529872701.

It can be written as a sum of positive squares in 2 ways, for example, as 37429924 + 1035359329 = 6118^2 + 32177^2 .

It is not a de Polignac number, because 1072789253 - 212 = 1072785157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072789243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220301 + ... + 225117.

It is an arithmetic number, because the mean of its divisors is an integer number (93696449).

Almost surely, 21072789253 is an apocalyptic number.

It is an amenable number.

1072789253 is a deficient number, since it is larger than the sum of its proper divisors (51568135).

1072789253 is an equidigital number, since it uses as much as digits as its factorization.

1072789253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 1072789253 is about 32753.4616949110. The cubic root of 1072789253 is about 1023.6970962428.

The spelling of 1072789253 in words is "one billion, seventy-two million, seven hundred eighty-nine thousand, two hundred fifty-three".

Divisors: 1 23 421 529 4817 9683 110791 222709 2027957 2548193 46643011 1072789253