Search a number
-
+
920350640 = 245119971049
BaseRepresentation
bin110110110110110…
…110111110110000
32101010210122201202
4312312312332300
53341102210030
6231154150332
731543565006
oct6666667660
92333718652
10920350640
11432572070
122182823a8
131188a05a1
148a336a76
1555beb745
hex36db6fb0

920350640 has 80 divisors (see below), whose sum is σ = 2338912800. Its totient is φ = 334018560.

The previous prime is 920350631. The next prime is 920350643. The reversal of 920350640 is 46053029.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (920350643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876836 + ... + 877884.

It is an arithmetic number, because the mean of its divisors is an integer number (29236410).

Almost surely, 2920350640 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 920350640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169456400).

920350640 is an abundant number, since it is smaller than the sum of its proper divisors (1418562160).

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

920350640 is a wasteful number, since it uses less digits than its factorization.

920350640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 920350640 is about 30337.2813547951. The cubic root of 920350640 is about 972.7123715920.

The spelling of 920350640 in words is "nine hundred twenty million, three hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 997 1049 1994 2098 3988 4196 4985 5245 7976 8392 9970 10490 10967 11539 15952 16784 19940 20980 21934 23078 39880 41960 43868 46156 54835 57695 79760 83920 87736 92312 109670 115390 175472 184624 219340 230780 438680 461560 877360 923120 1045853 2091706 4183412 5229265 8366824 10458530 11504383 16733648 20917060 23008766 41834120 46017532 57521915 83668240 92035064 115043830 184070128 230087660 460175320 920350640