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1076480 = 285292
BaseRepresentation
bin100000110110100000000
32000200122122
410012310000
5233421410
635023412
712102266
oct4066400
92020578
101076480
11675859
1243ab68
132b8c92
14200436
15163e55
hex106d00

1076480 has 54 divisors (see below), whose sum is σ = 2670486. Its totient is φ = 415744.

The previous prime is 1076477. The next prime is 1076501. The reversal of 1076480 is 846701.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 952576 = 352^2 + 976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37106 + ... + 37134.

21076480 is an apocalyptic number.

1076480 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 1076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335243).

1076480 is an abundant number, since it is smaller than the sum of its proper divisors (1594006).

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

1076480 is an frugal number, since it uses more digits than its factorization.

1076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1076480 is about 1037.5355415599. The cubic root of 1076480 is about 102.4869703842.

The spelling of 1076480 in words is "one million, seventy-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 580 640 841 928 1160 1280 1682 1856 2320 3364 3712 4205 4640 6728 7424 8410 9280 13456 16820 18560 26912 33640 37120 53824 67280 107648 134560 215296 269120 538240 1076480