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1292312070 = 234571132017
BaseRepresentation
bin100110100000111…
…0001111000000110
310100001201020220000
41031001301320012
510121312441240
6332122422130
744011320450
oct11501617006
93301636800
101292312070
11603527205
12300961946
131779758ca
14c38bd2d0
15786c2430
hex4d071e06

1292312070 has 160 divisors (see below), whose sum is σ = 4008426048. Its totient is φ = 292626432.

The previous prime is 1292312041. The next prime is 1292312101. The reversal of 1292312070 is 702132921.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 639702 + ... + 641718.

Almost surely, 21292312070 is an apocalyptic number.

1292312070 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 1292312070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004213024).

1292312070 is an abundant number, since it is smaller than the sum of its proper divisors (2716113978).

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

1292312070 is a wasteful number, since it uses less digits than its factorization.

1292312070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1292312070 is about 35948.7422589442. The cubic root of 1292312070 is about 1089.2372044360.

Adding to 1292312070 its reverse (702132921), we get a palindrome (1994444991).

The spelling of 1292312070 in words is "one billion, two hundred ninety-two million, three hundred twelve thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 113 126 135 162 189 210 226 270 315 339 378 405 565 567 630 678 791 810 945 1017 1130 1134 1582 1695 1890 2017 2034 2373 2835 3051 3390 3955 4034 4746 5085 5670 6051 6102 7119 7910 9153 10085 10170 11865 12102 14119 14238 15255 18153 18306 20170 21357 23730 28238 30255 30510 35595 36306 42357 42714 45765 54459 60510 64071 70595 71190 84714 90765 91530 106785 108918 127071 128142 141190 163377 181530 211785 213570 227921 254142 272295 320355 326754 381213 423570 455842 544590 635355 640710 683763 762426 816885 1139605 1143639 1270710 1367526 1595447 1633770 1906065 2051289 2279210 2287278 3190894 3418815 3812130 4102578 4786341 5718195 6153867 6837630 7977235 9572682 10256445 11436390 12307734 14359023 15954470 18461601 20512890 23931705 28718046 30769335 36923202 43077069 47863410 61538670 71795115 86154138 92308005 129231207 143590230 184616010 215385345 258462414 430770690 646156035 1292312070