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1072936845 = 32573326617
BaseRepresentation
bin111111111100111…
…011011110001101
32202202220211122200
4333330323132031
54144132434340
6254244432113
735405545521
oct7774733615
92682824580
101072936845
11500710372
1225b3a8639
13141396696
14a26d5d81
15642dc330
hex3ff3b78d

1072936845 has 24 divisors (see below), whose sum is σ = 1885239096. Its totient is φ = 564392448.

The previous prime is 1072936789. The next prime is 1072936847. The reversal of 1072936845 is 5486392701.

1072936845 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 452030121 + 620906724 = 21261^2 + 24918^2 .

It is not a de Polignac number, because 1072936845 - 214 = 1072920461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

1072936845 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1072936845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072936847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160024 + ... + 166593.

It is an arithmetic number, because the mean of its divisors is an integer number (78551629).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1072936845 = 2145873690, but 3⋅1072936845 = 3218810535 is not.

Almost surely, 21072936845 is an apocalyptic number.

1072936845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072936845 is a deficient number, since it is larger than the sum of its proper divisors (812302251).

1072936845 is a wasteful number, since it uses less digits than its factorization.

1072936845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326701 (or 326698 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1072936845 is about 32755.7146922487. The cubic root of 1072936845 is about 1023.7440400929.

It can be divided in two parts, 10729 and 36845, that added together give a palindrome (47574).

The spelling of 1072936845 in words is "one billion, seventy-two million, nine hundred thirty-six thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3285 326617 979851 1633085 2939553 4899255 14697765 23843041 71529123 119215205 214587369 357645615 1072936845