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1070880912 = 24342928493
BaseRepresentation
bin111111110101000…
…101100010010000
32202122001101110000
4333311011202100
54143121142122
6254132410000
735352223533
oct7765054220
92678041400
101070880912
114aa536752
1225a776900
13140b2695a
14a231ca1a
15640330ac
hex3fd45890

1070880912 has 100 divisors (see below), whose sum is σ = 3206429820. Its totient is φ = 344639232.

The previous prime is 1070880911. The next prime is 1070880919. The reversal of 1070880912 is 2190880701.

1070880912 is digitally balanced in base 2, 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 2 ways, for example, as 566249616 + 504631296 = 23796^2 + 22464^2 .

It is a super-2 number, since 2×10708809122 = 2293571855371903488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1070880911) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23338 + ... + 51830.

Almost surely, 21070880912 is an apocalyptic number.

1070880912 is a gapful number since it is divisible by the number (12) 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 1070880912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603214910).

1070880912 is an abundant number, since it is smaller than the sum of its proper divisors (2135548908).

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

1070880912 is a wasteful number, since it uses less digits than its factorization.

1070880912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28542 (or 28527 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1070880912 is about 32724.3168301494. The cubic root of 1070880912 is about 1023.0897316394.

The spelling of 1070880912 in words is "one billion, seventy million, eight hundred eighty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 261 324 348 432 464 522 648 696 783 1044 1296 1392 1566 2088 2349 3132 4176 4698 6264 9396 12528 18792 28493 37584 56986 85479 113972 170958 227944 256437 341916 455888 512874 683832 769311 826297 1025748 1367664 1538622 1652594 2051496 2307933 2478891 3077244 3305188 4102992 4615866 4957782 6154488 6610376 7436673 9231732 9915564 12308976 13220752 14873346 18463464 19831128 22310019 29746692 36926928 39662256 44620038 59493384 66930057 89240076 118986768 133860114 178480152 267720228 356960304 535440456 1070880912