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1680795036 = 22354194127
BaseRepresentation
bin110010000101110…
…1110010110011100
311100010201020100000
41210023232112130
511420240420121
6434441134300
756436344034
oct14413562634
94303636300
101680795036
11792846208
123aaa8a390
1320a2b3c9b
1411d3268c4
159c85d526
hex642ee59c

1680795036 has 72 divisors (see below), whose sum is σ = 4417620480. Its totient is φ = 558792432.

The previous prime is 1680795023. The next prime is 1680795071. The reversal of 1680795036 is 6305970861.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1680794982 and 1680795000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405205 + ... + 409331.

It is an arithmetic number, because the mean of its divisors is an integer number (61355840).

Almost surely, 21680795036 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 1680795036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208810240).

1680795036 is an abundant number, since it is smaller than the sum of its proper divisors (2736825444).

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

1680795036 is a wasteful number, since it uses less digits than its factorization.

1680795036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1680795036 is about 40997.5003628270. The cubic root of 1680795036 is about 1188.9718860559.

The spelling of 1680795036 in words is "one billion, six hundred eighty million, seven hundred ninety-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 419 486 838 972 1257 1676 2514 3771 4127 5028 7542 8254 11313 12381 15084 16508 22626 24762 33939 37143 45252 49524 67878 74286 101817 111429 135756 148572 203634 222858 334287 407268 445716 668574 1002861 1337148 1729213 2005722 3458426 4011444 5187639 6916852 10375278 15562917 20750556 31125834 46688751 62251668 93377502 140066253 186755004 280132506 420198759 560265012 840397518 1680795036