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1293290712 = 23357213577
BaseRepresentation
bin100110100010110…
…0000110011011000
310100010112222100000
41031011200303120
510122040300322
6332155413000
744022534600
oct11505406330
93303488300
101293290712
116040354aa
12301154160
13177c2919c
14c3a95c00
15788173ac
hex4d160cd8

1293290712 has 144 divisors (see below), whose sum is σ = 4225745160. Its totient is φ = 369484416.

The previous prime is 1293290671. The next prime is 1293290723. The reversal of 1293290712 is 2170923921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 88468 + ... + 102044.

Almost surely, 21293290712 is an apocalyptic number.

1293290712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1293290712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112872580).

1293290712 is an abundant number, since it is smaller than the sum of its proper divisors (2932454448).

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

1293290712 is a wasteful number, since it uses less digits than its factorization.

1293290712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13612 (or 13589 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1293290712 is about 35962.3513135612. The cubic root of 1293290712 is about 1089.5120875529.

The spelling of 1293290712 in words is "one billion, two hundred ninety-three million, two hundred ninety thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1512 1701 1764 1944 2268 2646 3402 3528 3969 4536 5292 6804 7938 10584 11907 13577 13608 15876 23814 27154 31752 40731 47628 54308 81462 95039 95256 108616 122193 162924 190078 244386 285117 325848 366579 380156 488772 570234 665273 733158 760312 855351 977544 1099737 1140468 1330546 1466316 1710702 1995819 2199474 2280936 2566053 2661092 2932632 3299211 3421404 3991638 4398948 5132106 5322184 5987457 6598422 6842808 7698159 7983276 8797896 10264212 11974914 13196844 15396318 15966552 17962371 20528424 23094477 23949828 26393688 30792636 35924742 46188954 47899656 53887113 61585272 71849484 92377908 107774226 143698968 161661339 184755816 215548452 323322678 431096904 646645356 1293290712