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1082557620 = 2232517353777
BaseRepresentation
bin100000010000110…
…1000010010110100
32210110000121212200
41000201220102310
54204113320440
6255230544500
735553405444
oct10041502264
92713017780
101082557620
11506091621
12262668130
13143384751
14a3abc124
156508cc30
hex408684b4

1082557620 has 72 divisors (see below), whose sum is σ = 3476930184. Its totient is φ = 271699968.

The previous prime is 1082557613. The next prime is 1082557621. The reversal of 1082557620 is 267552801.

It is a happy number.

1082557620 is a `hidden beast` number, since 1 + 0 + 8 + 25 + 5 + 7 + 620 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 227346084 + 855211536 = 15078^2 + 29244^2 .

It is a super-3 number, since 3×10825576203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082557621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173829 + ... + 179948.

It is an arithmetic number, because the mean of its divisors is an integer number (48290697).

Almost surely, 21082557620 is an apocalyptic number.

1082557620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082557620 is an abundant number, since it is smaller than the sum of its proper divisors (2394372564).

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

1082557620 is a wasteful number, since it uses less digits than its factorization.

1082557620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353809 (or 353804 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1082557620 is about 32902.2433885594. The cubic root of 1082557620 is about 1026.7948311260.

The spelling of 1082557620 in words is "one billion, eighty-two million, five hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 353777 707554 1061331 1415108 1768885 2122662 3183993 3537770 4245324 5306655 6014209 6367986 7075540 10613310 12028418 12735972 15919965 18042627 21226620 24056836 30071045 31839930 36085254 54127881 60142090 63679860 72170508 90213135 108255762 120284180 180426270 216511524 270639405 360852540 541278810 1082557620