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805268070 = 2325171927701
BaseRepresentation
bin101111111111110…
…110101001100110
32002010020212010100
4233333312221212
53122122034240
6211523404530
725645444215
oct5777665146
92063225110
10805268070
11383609902
121a5823746
13caaa89a9
1478d3b07c
154aa67e30
hex2fff6a66

805268070 has 96 divisors (see below), whose sum is σ = 2333616480. Its totient is φ = 191462400.

The previous prime is 805268069. The next prime is 805268071. The reversal of 805268070 is 70862508.

805268070 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (805268069) and next prime (805268071).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (805268071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15220 + ... + 42920.

It is an arithmetic number, because the mean of its divisors is an integer number (24308505).

Almost surely, 2805268070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 805268070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166808240).

805268070 is an abundant number, since it is smaller than the sum of its proper divisors (1528348410).

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

805268070 is a wasteful number, since it uses less digits than its factorization.

805268070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27750 (or 27747 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 805268070 is about 28377.2456380107. The cubic root of 805268070 is about 930.3509948110.

The spelling of 805268070 in words is "eight hundred five million, two hundred sixty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 510 570 646 765 855 969 1530 1615 1710 1938 2907 3230 4845 5814 9690 14535 27701 29070 55402 83103 138505 166206 249309 277010 415515 470917 498618 526319 831030 941834 1052638 1246545 1412751 1578957 2354585 2493090 2631595 2825502 3157914 4238253 4709170 4736871 5263190 7063755 7894785 8476506 8947423 9473742 14127510 15789570 17894846 21191265 23684355 26842269 42382530 44737115 47368710 53684538 80526807 89474230 134211345 161053614 268422690 402634035 805268070