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1070880 = 25352397
BaseRepresentation
bin100000101011100100000
32000101222020
410011130200
5233232010
634541440
712050046
oct4053440
92011866
101070880
11671628
12437880
132b6575
141dc396
15162470
hex105720

1070880 has 96 divisors (see below), whose sum is σ = 3556224. Its totient is φ = 270336.

The previous prime is 1070873. The next prime is 1070899. The reversal of 1070880 is 880701.

1070880 = T150 + T151 + ... + T213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10708802 = 2293567948800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1070880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10992 + ... + 11088.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

21070880 is an apocalyptic number.

1070880 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 1070880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112).

1070880 is an abundant number, since it is smaller than the sum of its proper divisors (2485344).

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

1070880 is a wasteful number, since it uses less digits than its factorization.

1070880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1070880 is about 1034.8333199120. The cubic root of 1070880 is about 102.3089441206.

The spelling of 1070880 in words is "one million, seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 97 115 120 138 160 184 194 230 240 276 291 345 368 388 460 480 485 552 582 690 736 776 920 970 1104 1164 1380 1455 1552 1840 1940 2208 2231 2328 2760 2910 3104 3680 3880 4462 4656 5520 5820 6693 7760 8924 9312 11040 11155 11640 13386 15520 17848 22310 23280 26772 33465 35696 44620 46560 53544 66930 71392 89240 107088 133860 178480 214176 267720 356960 535440 1070880