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1682146008 = 233373106681
BaseRepresentation
bin110010001000011…
…1000001011011000
311100020020212112000
41210100320023120
511421112133013
6434530121000
756454001524
oct14420701330
94306225460
101682146008
11793589214
123ab420160
1320a667b8a
1411d598d84
159ca28973
hex644382d8

1682146008 has 64 divisors (see below), whose sum is σ = 4736680800. Its totient is φ = 553029120.

The previous prime is 1682146007. The next prime is 1682146043. The reversal of 1682146008 is 8006412861.

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 (1682146007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37573 + ... + 69108.

Almost surely, 21682146008 is an apocalyptic number.

1682146008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1682146008 is an abundant number, since it is smaller than the sum of its proper divisors (3054534792).

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

1682146008 is a wasteful number, since it uses less digits than its factorization.

1682146008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106769 (or 106759 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1682146008 is about 41013.9733261726. The cubic root of 1682146008 is about 1189.2903539096.

Adding to 1682146008 its reverse (8006412861), we get a palindrome (9688558869).

The spelling of 1682146008 in words is "one billion, six hundred eighty-two million, one hundred forty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 108 146 216 219 292 438 584 657 876 1314 1752 1971 2628 3942 5256 7884 15768 106681 213362 320043 426724 640086 853448 960129 1280172 1920258 2560344 2880387 3840516 5760774 7681032 7787713 11521548 15575426 23043096 23363139 31150852 46726278 62301704 70089417 93452556 140178834 186905112 210268251 280357668 420536502 560715336 841073004 1682146008