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853340070 = 235117335423
BaseRepresentation
bin110010110111001…
…110111110100110
32012110201011111210
4302313032332212
53221423340240
6220402012250
730101161632
oct6267167646
92173634453
10853340070
113a8763030
121b9947086
13107a3a66b
1481491dc2
154edb1780
hex32dcefa6

853340070 has 64 divisors (see below), whose sum is σ = 2264868864. Its totient is φ = 204030720.

The previous prime is 853340063. The next prime is 853340071. The reversal of 853340070 is 70043358.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853340071) 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 31 ways as a sum of consecutive naturals, for example, 6379 + ... + 41801.

It is an arithmetic number, because the mean of its divisors is an integer number (35388576).

Almost surely, 2853340070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853340070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132434432).

853340070 is an abundant number, since it is smaller than the sum of its proper divisors (1411528794).

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

853340070 is a wasteful number, since it uses less digits than its factorization.

853340070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35517.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 853340070 is about 29211.9850403905. The cubic root of 853340070 is about 948.5073771913.

The spelling of 853340070 in words is "eight hundred fifty-three million, three hundred forty thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 73 110 146 165 219 330 365 438 730 803 1095 1606 2190 2409 4015 4818 8030 12045 24090 35423 70846 106269 177115 212538 354230 389653 531345 779306 1062690 1168959 1948265 2337918 2585879 3896530 5171758 5844795 7757637 11689590 12929395 15515274 25858790 28444669 38788185 56889338 77576370 85334007 142223345 170668014 284446690 426670035 853340070