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1072836945 = 3251271311433
BaseRepresentation
bin111111111100100…
…011000101010001
32202202201202121200
4333330203011101
54144121240240
6254242341413
735404651335
oct7774430521
92682652550
101072836945
11500652304
1225b35a869
1314136007b
14a26ab7c5
15642bc930
hex3ff23151

1072836945 has 48 divisors (see below), whose sum is σ = 1889851392. Its totient is φ = 562947840.

The previous prime is 1072836937. The next prime is 1072836953. The reversal of 1072836945 is 5496382701.

1072836945 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1072836937) and next prime (1072836953).

It is not a de Polignac number, because 1072836945 - 23 = 1072836937 is a prime.

It is a super-2 number, since 2×10728369452 = 2301958221113866050, which contains 22 as substring.

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

1072836945 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 1072836945.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747949 + ... + 749381.

It is an arithmetic number, because the mean of its divisors is an integer number (39371904).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1072836945 = 2145673890, but 3⋅1072836945 = 3218510835 is not.

Almost surely, 21072836945 is an apocalyptic number.

1072836945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1072836945 is a deficient number, since it is larger than the sum of its proper divisors (817014447).

1072836945 is a wasteful number, since it uses less digits than its factorization.

1072836945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1699 counting only the distinct ones).

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

The square root of 1072836945 is about 32754.1897320022. The cubic root of 1072836945 is about 1023.7122658698.

The spelling of 1072836945 in words is "one billion, seventy-two million, eight hundred thirty-six thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 45 127 131 381 393 635 655 1143 1179 1433 1905 1965 4299 5715 5895 7165 12897 16637 21495 49911 64485 83185 149733 181991 187723 249555 545973 563169 748665 909955 938615 1637919 1689507 2729865 2815845 8189595 8447535 23840821 71522463 119204105 214567389 357612315 1072836945