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1071990 = 232543277
BaseRepresentation
bin100000101101101110110
32000110111100
410011231312
5233300430
634550530
712053223
oct4055566
92013440
101071990
11672447
12438446
132b6c1a
141dc94a
15162960
hex105b76

1071990 has 48 divisors (see below), whose sum is σ = 2862288. Its totient is φ = 278208.

The previous prime is 1071979. The next prime is 1071991. The reversal of 1071990 is 991701.

1071990 = T14 + T15 + ... + T185.

It is a super-4 number, since 4×10719904 (a number of 25 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1071991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3732 + ... + 4008.

It is an arithmetic number, because the mean of its divisors is an integer number (59631).

21071990 is an apocalyptic number.

1071990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431144).

1071990 is an abundant number, since it is smaller than the sum of its proper divisors (1790298).

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

1071990 is a wasteful number, since it uses less digits than its factorization.

1071990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 1071990 is about 1035.3694992610. The cubic root of 1071990 is about 102.3442807016.

The spelling of 1071990 in words is "one million, seventy-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 277 387 430 554 645 774 831 1290 1385 1662 1935 2493 2770 3870 4155 4986 8310 11911 12465 23822 24930 35733 59555 71466 107199 119110 178665 214398 357330 535995 1071990