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20291310 = 2345134147
BaseRepresentation
bin100110101100…
…1111011101110
31102011220110000
41031121323232
520143310220
62002525130
7334321224
oct115317356
942156400
1020291310
11104aa186
1269667a6
134285bc0
1429a2b14
151bac390
hex1359eee

20291310 has 160 divisors (see below), whose sum is σ = 61471872. Its totient is φ = 4769280.

The previous prime is 20291273. The next prime is 20291311. The reversal of 20291310 is 1319202.

It is a happy number.

It is a super-2 number, since 2×202913102 = 823474523032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20291311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 431707 + ... + 431753.

Almost surely, 220291310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20291310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30735936).

20291310 is an abundant number, since it is smaller than the sum of its proper divisors (41180562).

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

20291310 is a wasteful number, since it uses less digits than its factorization.

20291310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20291310 is about 4504.5876614847. The cubic root of 20291310 is about 272.7533093325.

The spelling of 20291310 in words is "twenty million, two hundred ninety-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 41 45 47 54 65 78 81 82 90 94 117 123 130 135 141 162 195 205 234 235 246 270 282 351 369 390 405 410 423 470 533 585 611 615 702 705 738 810 846 1053 1066 1107 1170 1222 1230 1269 1410 1599 1755 1833 1845 1927 2106 2115 2214 2538 2665 3055 3198 3321 3510 3666 3690 3807 3854 4230 4797 5265 5330 5499 5535 5781 6110 6345 6642 7614 7995 9165 9594 9635 10530 10998 11070 11562 12690 14391 15990 16497 16605 17343 18330 19035 19270 23985 25051 27495 28782 28905 32994 33210 34686 38070 43173 47970 49491 50102 52029 54990 57810 71955 75153 82485 86346 86715 98982 104058 125255 143910 150306 156087 164970 173430 215865 225459 247455 250510 260145 312174 375765 431730 450918 494910 520290 676377 751530 780435 1127295 1352754 1560870 2029131 2254590 3381885 4058262 6763770 10145655 20291310