Search a number
-
+
1069680 = 24354457
BaseRepresentation
bin100000101001001110000
32000100022210
410011021300
5233212210
634532120
712043413
oct4051160
92010283
101069680
11670737
12437040
132b5b61
141dbb7a
15161e20
hex105270

1069680 has 40 divisors (see below), whose sum is σ = 3316752. Its totient is φ = 285184.

The previous prime is 1069667. The next prime is 1069687. The reversal of 1069680 is 869601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10696802 = 2288430604800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069687) 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, 1989 + ... + 2468.

21069680 is an apocalyptic number.

1069680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1069680 is an abundant number, since it is smaller than the sum of its proper divisors (2247072).

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

1069680 is a wasteful number, since it uses less digits than its factorization.

1069680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1069680 is about 1034.2533538742. The cubic root of 1069680 is about 102.2707149323.

The spelling of 1069680 in words is "one million, sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4457 8914 13371 17828 22285 26742 35656 44570 53484 66855 71312 89140 106968 133710 178280 213936 267420 356560 534840 1069680