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1285706070 = 232511310733
BaseRepresentation
bin100110010100010…
…0101000101010110
310022121021122011100
41030220211011112
510113120043240
6331325050530
743601215125
oct11450450526
93277248140
101285706070
115aa825000
122ba6b6a46
131764a1b2c
14c2a7dabc
1577d19e30
hex4ca25156

1285706070 has 96 divisors (see below), whose sum is σ = 3677210784. Its totient is φ = 311657280.

The previous prime is 1285706057. The next prime is 1285706077. The reversal of 1285706070 is 706075821.

1285706070 is a `hidden beast` number, since 1 + 28 + 570 + 60 + 7 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285706077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114424 + ... + 125156.

It is an arithmetic number, because the mean of its divisors is an integer number (38304279).

Almost surely, 21285706070 is an apocalyptic number.

1285706070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285706070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838605392).

1285706070 is an abundant number, since it is smaller than the sum of its proper divisors (2391504714).

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

1285706070 is a wasteful number, since it uses less digits than its factorization.

1285706070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10779 (or 10754 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1285706070 is about 35856.7437171866. The cubic root of 1285706070 is about 1087.3780568778.

The spelling of 1285706070 in words is "one billion, two hundred eighty-five million, seven hundred six thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1331 1815 2178 2662 3630 3993 5445 6655 7986 10733 10890 11979 13310 19965 21466 23958 32199 39930 53665 59895 64398 96597 107330 118063 119790 160995 193194 236126 321990 354189 482985 590315 708378 965970 1062567 1180630 1298693 1770945 2125134 2597386 3541890 3896079 5312835 6493465 7792158 10625670 11688237 12986930 14285623 19480395 23376474 28571246 38960790 42856869 58441185 71428115 85713738 116882370 128570607 142856230 214284345 257141214 428568690 642853035 1285706070