Search a number
-
+
1327089420 = 223452335617
BaseRepresentation
bin100111100011001…
…1100011100001100
310102111011010110000
41033012130130030
510204213330140
6335404044300
744613034236
oct11706343414
93374133400
101327089420
1162111aa18
12310533690
13181c31217
14c8373256
157b791a30
hex4f19c70c

1327089420 has 120 divisors (see below), whose sum is σ = 4344256224. Its totient is φ = 338494464.

The previous prime is 1327089331. The next prime is 1327089431. The reversal of 1327089420 is 249807231.

It is a super-2 number, since 2×13270894202 = 3522332657351872800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19452 + ... + 55068.

Almost surely, 21327089420 is an apocalyptic number.

1327089420 is a gapful number since it is divisible by the number (10) 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 1327089420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172128112).

1327089420 is an abundant number, since it is smaller than the sum of its proper divisors (3017166804).

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

1327089420 is a wasteful number, since it uses less digits than its factorization.

1327089420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35661 (or 35650 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1327089420 is about 36429.2385317069. The cubic root of 1327089420 is about 1098.9216484505.

The spelling of 1327089420 in words is "one billion, three hundred twenty-seven million, eighty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 2070 2484 3105 3726 4140 6210 7452 9315 12420 18630 35617 37260 71234 106851 142468 178085 213702 320553 356170 427404 534255 641106 712340 819191 961659 1068510 1282212 1602765 1638382 1923318 2137020 2457573 2884977 3205530 3276764 3846636 4095955 4808295 4915146 5769954 6411060 7372719 8191910 9616590 9830292 11539908 12287865 14424885 14745438 16383820 19233180 22118157 24575730 28849770 29490876 36863595 44236314 49151460 57699540 66354471 73727190 88472628 110590785 132708942 147454380 221181570 265417884 331772355 442363140 663544710 1327089420