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1075644740 = 2251711327997
BaseRepresentation
bin100000000011101…
…0000100101000100
32202222000102012002
41000013100211010
54200331112430
6254422444432
735440554332
oct10007204504
92688012162
101075644740
1150219a8a5
12260293718
13141b040a1
14a2bdcb52
1564674845
hex401d0944

1075644740 has 48 divisors (see below), whose sum is σ = 2412979632. Its totient is φ = 401350656.

The previous prime is 1075644719. The next prime is 1075644751. The reversal of 1075644740 is 474465701.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 329476 + 1075315264 = 574^2 + 32792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1075644694 and 1075644703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24422 + ... + 52418.

It is an arithmetic number, because the mean of its divisors is an integer number (50270409).

Almost surely, 21075644740 is an apocalyptic number.

1075644740 is a gapful number since it is divisible by the number (10) 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 1075644740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206489816).

1075644740 is an abundant number, since it is smaller than the sum of its proper divisors (1337334892).

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

1075644740 is a wasteful number, since it uses less digits than its factorization.

1075644740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28136 (or 28134 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 1075644740 is about 32797.0233405411. The cubic root of 1075644740 is about 1024.6045637040.

The spelling of 1075644740 in words is "one billion, seventy-five million, six hundred forty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 113 170 226 340 452 565 1130 1921 2260 3842 7684 9605 19210 27997 38420 55994 111988 139985 279970 475949 559940 951898 1903796 2379745 3163661 4759490 6327322 9518980 12654644 15818305 31636610 53782237 63273220 107564474 215128948 268911185 537822370 1075644740