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1309862970 = 23251310710463
BaseRepresentation
bin100111000010010…
…1110110000111010
310101021201221012100
41032010232300322
510140311103340
6333550524230
744313436323
oct11604566072
93337657170
101309862970
11612424489
12306806676
1317b4ac360
14c5d6b44a
1579edc830
hex4e12ec3a

1309862970 has 96 divisors (see below), whose sum is σ = 3702246912. Its totient is φ = 319383936.

The previous prime is 1309862969. The next prime is 1309862993. The reversal of 1309862970 is 792689031.

1309862970 is a `hidden beast` number, since 13 + 0 + 9 + 8 + 629 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119959 + ... + 130421.

It is an arithmetic number, because the mean of its divisors is an integer number (38565072).

Almost surely, 21309862970 is an apocalyptic number.

1309862970 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 1309862970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851123456).

1309862970 is an abundant number, since it is smaller than the sum of its proper divisors (2392383942).

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

1309862970 is a wasteful number, since it uses less digits than its factorization.

1309862970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10596 (or 10593 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1309862970 is about 36192.0290948159. The cubic root of 1309862970 is about 1094.1460283644.

It can be divided in two parts, 130986 and 2970, that added together give a square (133956 = 3662).

The spelling of 1309862970 in words is "one billion, three hundred nine million, eight hundred sixty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 107 117 130 195 214 234 321 390 535 585 642 963 1070 1170 1391 1605 1926 2782 3210 4173 4815 6955 8346 9630 10463 12519 13910 20865 20926 25038 31389 41730 52315 62595 62778 94167 104630 125190 136019 156945 188334 272038 313890 408057 470835 680095 816114 941670 1119541 1224171 1360190 2040285 2239082 2448342 3358623 4080570 5597705 6120855 6717246 10075869 11195410 12241710 14554033 16793115 20151738 29108066 33586230 43662099 50379345 72770165 87324198 100758690 130986297 145540330 218310495 261972594 436620990 654931485 1309862970