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1070688 = 25319587
BaseRepresentation
bin100000101011001100000
32000101201010
410011121200
5233230223
634540520
712046353
oct4053140
92011633
101070688
11671473
12437740
132b6458
141dc29a
15162393
hex105660

1070688 has 48 divisors (see below), whose sum is σ = 2963520. Its totient is φ = 337536.

The previous prime is 1070683. The next prime is 1070689. The reversal of 1070688 is 8860701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10706882 = 2292745586688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070681) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1531 + ... + 2117.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

21070688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1070688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481760).

1070688 is an abundant number, since it is smaller than the sum of its proper divisors (1892832).

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

1070688 is a wasteful number, since it uses less digits than its factorization.

1070688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1070688 is about 1034.7405471905. The cubic root of 1070688 is about 102.3028293703.

The spelling of 1070688 in words is "one million, seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 587 608 912 1174 1761 1824 2348 3522 4696 7044 9392 11153 14088 18784 22306 28176 33459 44612 56352 66918 89224 133836 178448 267672 356896 535344 1070688